Solve the inequality. 2(4x  – 3) ≥ –3(3x) + 5x? x  ≥ 0.5 x  ≥ 2 (–∞, 0.5] (–∞, 2]

2(4x - 3) > = -3(3x) + 5x

8x - 6 > = -9x + 5x

8x - 6 > = - 4x

-6 > = -4x - 8x

-6 > = - 12x

-6/-12 < = x

0.5 < = x or x > = 0.5 <==

Solve the inequality. 2(4x – 3) ≥ –3(3x) + 5x? x ≥ 0.5 x ≥ 2 (–∞, 0.5] (–∞, 2]

step-by-step explanation:

always plug in x. in this case, x equals 4.

i'm going to first solve 4(2+3x)

1) 4(2+3(4)) use pemdas to solve.

i'm going to multiply whats in the parenthesis first, so 3 times 4=12.

2)4 (2+12) i'm then going to multiply 4 by both numbers in the parenthesis (because multiplying comes before adding)

4 times 2= 8.   4 times 12= 48

4) (8+48)= 56 (answer)

i'm then going to solve 8+12x and plug in 4 for x.

1) 8 +12(4)

multiplying comes before adding, so i'm gonna multiply 12 and 4.

12 times 4= 48.

2) 8+48=56

both equal the same!