Question

Solve for y. 14>38-2.5y

Answer 1

To solve the inequality 14 > 38 - 2.5y, you need to isolate the variable y. The solution is y > 9.6.

Step-by-step explanation:

To solve for y in the inequality 14 > 38 - 2.5y, you need to isolate the variable y. Start by subtracting 38 from both sides of the inequality:

14 - 38 > -2.5y

-24 > -2.5y

Next, divide both sides of the inequality by -2.5. Remember that when dividing or multiplying both sides of an inequality by a negative number, the direction of the inequality sign flips:

-24 / -2.5 < y

9.6 < y

Therefore, the solution to the inequality is y > 9.6.

Answer 2

To solve for y, we need to isolate it on one side of the inequality. Let's start by subtracting 38 from both sides of the inequality:

14 > 38 - 2.5y - 38

Simplifying, we have:

-24 > -2.5y

Next, let's divide both sides of the inequality by -2.5. Remember to flip the inequality sign when dividing by a negative number:

-24 / -2.5 < y

Simplifying further, we get:

9.6 < y

So, the solution for y is y > 9.6.