Solve the inequality. The answer is suppose to be x> or equal to -8. Everytime I solve it I get O.
-16x+16< or equal to -4(3x-12)
-16x+16<≤ -4(3x-12)
-16x + 16 ≤ -12x + 48
-4x ≤ 32
x ≥ -8
To solve the inequality, -16x + 16 ≤ -4(3x - 12), you need to follow a step-by-step process. Let's go through it together:
1. Distribute the -4 to both terms inside the parentheses on the right side of the inequality:
-16x + 16 ≤ -12x + 48
2. Rearrange the inequality to group similar terms:
-16x + 12x ≤ 48 - 16
3. Simplify:
-4x ≤ 32
4. Divide both sides of the inequality by -4. Remember when dividing or multiplying an inequality by a negative number, the direction of the inequality symbol must be reversed:
(-4x) / -4 ≥ 32 / -4
This gives you:
x ≥ -8
Therefore, the correct solution to the inequality -16x + 16 ≤ -4(3x - 12) is x ≥ -8. It seems there was a mistake during your solving process. Double-check your steps to see where the error occurred.