Question

Solve the inequality: 5 + x < 23 or 6x + 1 < -29.

Answer 1

To solve the inequality 5 + x < 23 or 6x + 1 < -29, we simplify each inequality separately to find x < 18 and x < -5. The combined solution for the inequality is x < 18.

Step-by-step explanation:

The student has posed the question to solve the inequality: 5 + x < 23 or 6x + 1 < -29. To find the solution, we must solve each inequality separately.

For the first inequality:

5 + x < 23

1. Subtract 5 from both sides: x < 23 - 5
2. x < 18

For the second inequality:

6x + 1 < -29

1. Subtract 1 from both sides: 6x < -30
2. Divide both sides by 6: x < -5

The combined solution for the inequality is any x that is either less than 18 or less than -5, which essentially is all x < 18.