Question

Solve the inequality 5x - 50 ≤ 100 and express the solution set for x.

Answer 1

The inequality 5x - 50 ≤ 100 is solved by adding 50 to both sides and then dividing by 5, resulting in the solution set x ≤ 30, which represents all real numbers less than or equal to 30.

Step-by-step explanation:

To solve the inequality 5x - 50 ≤ 100, we need to isolate the variable x on one side of the inequality. Here are the steps:

1. Add 50 to both sides of the inequality to cancel out the -50 on the left side, which gives us 5x ≤ 150.
2. Divide both sides of the inequality by 5 to solve for x, resulting in x ≤ 30.

The solution set for x is all real numbers less than or equal to 30, which we can express as x ≤ 30.

The reference to the "quadratic formula" and other irrelevant details in the question are to be ignored as they do not apply to solving this linear inequality.