Question

Inequality for the sum of 14 and twice a number y is equal to 78.

Answer 1

To solve the inequality for the sum of 14 and twice a number y, we isolate the variable y and solve for it. The solution is y ≤ 32.

Step-by-step explanation:

This is a mathematical question involving an inequality. Let's break it down step by step:

1. The sum of 14 and twice a number y is given by the expression 14 + 2y.
2. The inequality for this sum is given as 14 + 2y ≤ 78.
3. To solve this inequality, we need to isolate the variable y. Begin by subtracting 14 from both sides: 2y ≤ 78 - 14.
4. We get 2y ≤ 64.
5. Finally, we divide both sides of the inequality by 2 to solve for y: y ≤ 32.

Therefore, the solution to the inequality is y ≤ 32.