What value of x is in the solution set of 2x² - 3 ≤ 7?

Solution:

A solution set represents the set or range of values that a function can have for the given x values.

Given expression: 2x² - 3 ≤ 7

Adding 3 on both sides of the given inequality, we get

⇒ 2x² - 3 + 3 ≤ 7 + 3

⇒ 2x² ≤ 7 + 3

⇒ 2x² ≤ 10

Dividing 2 into both sides of the above inequality, we get

⇒ 2x²/2 ≤ 10/2

⇒ x² ≤ 5

⇒ |x| ≤ √5

Thus, the solution to this inequality is all real values of x lying in the interval [-√5, √5].

What value of x is in the solution set of 2x² - 3 ≤ 7?

Summary:

The solution to this inequality is all real values of x that are in the interval [-√5, √5].