What are the solutions of the inequality? -2(3x+2) ≥ -6x-4 A. x ≥ 0 B. x ≤ 6 C. all real numbers D. no solution
Mathematics · High School · Thu Feb 04 2021
Answered on
Given the inequality:
-2(3x + 2) ≥ -6x-4
Determine the solutions.
Solution:
In order to determine the solution, we simply must solve for x. Distribute -2 to each value inside the parenthesis.
-2(3x + 2) ≥ -6x-4
-6x - 4 ≥ -6x-4
Transpose -6x and -4 to the opposite sides of the equation. Hence, it must be taken to note that in transposing a number, the sign changes.
-6x + 6x ≥ 4 -4
= 0
= No Solution
Final answer:
D. No Solution