Solve 3(4 – x) ≤ 54 A) x ≥ –14 B) x ≤ –14 C) x ≥ –42 D) x ≤ –42
Mathematics · High School · Sun Jan 24 2021
Answered on
Given the inequality:
3( 4 - x ) ≤ 54
Solve for x.
Solution:
In order to solve for x, the first step is to distribute 3 to each value inside the parenthesis.
= 3( 4 - x ) ≤ 54
= 12 - 3x ≤ 54
Transpose -3x and 54 on the opposite sides of the equation, hence we must take note that in transposing a number, the sign changes.
= 12 - 54 ≤ 3x
= -42 ≤ 3x
Divide both sides by 3 in order to cancel out 3 and determine the value of x.
= -42 / 3 ≤ 3x/3
= -14 ≤ x
x is greater than or equal to -14.
Final answer:
B) x ≤ –14