5.4 – Solving Compound Inequalities
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5.4 – Solving Compound Inequalities
Ex. Solve and graph the solution.
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4
-1 < x
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
Ex. Solve and graph the solution.
a. -5 < x – 4 < 2
-5 < x – 4 and x – 4 < 2
+4 +4 +4 +4
-1 < x and x < 6
-1 < x < 6
0-1 6
b. -3h + 4 < 19 or 7h – 3 > 18
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4
-3h < 15
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4
-3h < 15
-3 -3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4
-3h < 15
-3 -3
h > -5
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15
-3 -3
h > -5
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3
h > -5
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18
- 4 - 4 +3 +3
-3h < 15 or 7h > 21
-3 -3 7 7
h > -5 or h > 3
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4 -1 -1
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4 -1 -1
x < -4 or x > 4
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4 -1 -1
x < -4 or x > 4
0-5 3
b. -3h + 4 < 19 or 7h – 3 > 18 - 4 - 4 +3 +3 -3h < 15 or 7h > 21 -3 -3 7 7 h > -5 or h > 3
c. 1 + x < -3 or -x < -4 -1 -1
x < -4 or x > 4
0-5 3
0-4 4
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