Question

Solve the compound inequality. Write the s 8x+1>-5 and 4x+1<=17

Answer 1

To solve the compound inequality, we solve each inequality separately and then combine the solutions. The solution to the compound inequality is -3/4 < x <= 4.

Step-by-step explanation:

To solve the compound inequality, we will solve each inequality separately and then combine the solutions. Let's start with the first inequality:

8x + 1 > -5

Subtract 1 from both sides:

8x > -6

Divide both sides by 8:

x > -6/8

Simplifying further, we get:

x > -3/4

Now, let's solve the second inequality:

4x + 1 <= 17

Subtract 1 from both sides:

4x <= 16

Divide both sides by 4:

x <= 16/4

Simplifying further, we get:

x <= 4

Now, we can combine the solutions to get the final answer:

-3/4 < x <= 4