Question

Find the solution set of the inequality
5æ+13 > _37.
X
V

Answer 1

The solution set of the inequality 5x + 13 > -37 is all real numbers greater than -10, which is represented in interval notation as (-10, ∞).

Step-by-step explanation:

To find the solution set of the inequality 5x + 13 > -37, we need to isolate the variable x.

1. Subtract 13 from both sides of the inequality: 5x + 13 - 13 > -37 - 13, which simplifies to 5x > -50.
2. Divide both sides by 5 to solve for x: 5x / 5 > -50 / 5, which results in x > -10.

Therefore, the solution set of the inequality is all real numbers greater than -10. In interval notation, this is written as (-10, ∞).