Question

Solve the inequality 3t≥10-5(t+7)-1.

Answer 1

To solve the inequality 3t≥10-5(t+7)-1, distribute -5, combine like terms, and solve for t, resulting in t≥-3.25.

Step-by-step explanation:

To solve the inequality 3t≥10-5(t+7)-1, you need to simplify and solve for t. First, distribute the -5 through the parentheses:

• 3t ≥ 10 - 5t - 35 -1

Combine like terms:

Add 5t to both sides to get all the t terms on one side:

Divide by 8 to solve for t:

This means that t is any number greater than or equal to -3.25.

To solve the inequality 3t≥10-5(t+7)-1, we start by simplifying both sides of the equation:

3t ≥ 10 - 5t - 35 - 1

Combine like terms:

8t ≥ -26

Divide both sides by 8:

t ≥ -26/8

Simplify the fraction:

t ≥ -13/4

So the solution is t ≥ -13/4.