What value of x is in the solution set of 4x - 12 ≤ 16 - 8x? Sign is not given so, arbitrary sign considered: 4x - 12 ≤ 16 - 8x.

Solution:

The mathematical expressions in which both sides are not equal are called inequalities.

In inequality, unlike in equations, we compare two values.

The equal to sign in between is replaced by less than, greater than or not equal to sign.

Given:

Inequality is 4x - 12 ≤ 16 - 8x

⇒ 4x + 8x ≤ 16 +12

⇒ 12x ≤ 28

⇒ x ≤ 28/12

⇒ x ≤ 7/3

Solution is x ∈ (-∞, 7/3].

Therefore, the value of x in the solution set of 4x - 12 ≤ 16 - 8x is (-∞, 7/3].

What value of x is in the solution set of 4x - 12 ≤ 16 - 8x? Sign is not given so, arbitrary sign considered: 4x - 12 ≤ 16 - 8x.

Summary:

The value of x in the solution set of 4x - 12 ≤ 16 - 8x is (-∞, 7/3].