barkonatree barkonatree

02-10-2018
Mathematics

contestada

35 POINTS!!!

What is the solution to the inequality?

-2/3 (2x - 1/2)<= 1/5x - 1

35 POINTS What is the solution to the inequality 23 2x 12lt 15x 1 class=

Respuesta :

musiclover10045 musiclover10045

02-10-2018

-2/3(2x-1/2) ≤1/5x-1

Simplify the left side:

-4/3x+1/3 ≤1/5x-1

Subtract 1/5x from each side:

-23/15x + 1/3≤-1

Subtract 1/3 from each side:

-23/15x ≤-4/3

Divide both sides by -23/15:

X = -4/3 / -23/15

X ≥ 20/23

Convert to interval notation:

[ 20/23 , ∞)

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