Question

4(w−6) ≤ −12 Solve the inequality.
a) w ≤ -3
b) w ≥ -3
c) w ≤ 3
d) w ≥ 3

Answer 1

To solve the inequality 4(w−6) ≤ −12, you distribute the 4, add 24 to both sides, and then divide by 4, which results in w ≤ 3. The correct option is c) w ≤ 3.

Step-by-step explanation:

The student has asked for the solution to the inequality 4(w−6) ≤ −12. To solve this inequality, you'll need to use the distributive property and then isolate the variable 'w'.

• Distribute the 4 into the parentheses: 4w − 24 ≤ −12.
• Add 24 to both sides of the inequality to get the 'w' term by itself: 4w ≤ 12.
• Divide both sides by 4 to solve for 'w': w ≤ 3.

The answer to the inequality is w ≤ 3, which corresponds to option c) w ≤ 3.