Solve the compound inequality -5<3x+7<22
To solve the compound inequality -5 < 3x + 7 < 22, we need to isolate x.
1. Subtract 7 from all parts of the inequality:
-5 - 7 < 3x + 7 - 7 < 22 - 7
This gives us:
-12 < 3x < 15
2. Divide all parts of the inequality by 3:
-12/3 < 3x/3 < 15/3
This simplifies to:
-4 < x < 5
Therefore, the solution to the compound inequality -5 < 3x + 7 < 22 is -4 < x < 5.
To solve the compound inequality -5 < 3x + 7 < 22, we need to isolate the variable x.
First, let's subtract 7 from all three parts of the compound inequality:
-5 < 3x + 7 - 7 < 22 - 7
Simplifying this, we get:
-5 - 7 < 3x < 22 - 7
-12 < 3x < 15
Next, we divide all three parts of the inequality by 3 to isolate the variable x:
(-12) / 3 < (3x) / 3 < 15 / 3
Simplifying this, we get:
-4 < x < 5
Therefore, the solution to the compound inequality -5 < 3x + 7 < 22 is -4 < x < 5.