3(2d −1)≥4(2d−3)−3 ) {d | d ≥ −9} b) {d | d ≤ −6} c) {d | d ≥ 3} d) {d | d ≤ 6}
Mathematics · High School · Sun Jan 24 2021
Answered on
Given the inequality:
3(2d −1) ≥ 4(2d−3)−3 )
Solve for the inequality.
Solution:
In order to solve for the inequality, simply distribute first 3 and 4 to their corresponding parenthesis.
3(2d −1) ≥ 4(2d−3)−3 )
6d −3) ≥ 4(2d
6d −3 ≥ 8d
Transpose 6d to the other side of the equation hence it must be taken to note that in transposing a number, the sign changes.
−3 ≥ 8d - 6d
−3 ≥ 2d
DIvide both sides by 2 in order to determine the value of d.
−3/2 ≥ 2d/2
−3/2 ≥ d
Final answer:
−3/2 ≥ d