Question

2(4x – 3) ≥ –3(3x) + 5x?

Answer 1

i think your answer would be x>1/2

Answer 2

2(4x - 3) ≥ -3(3x) + 5x

We can apply distributive property here.

8x - 6 ≥ -9x + 5x

Next we can group like terms on right side

8x - 6 ≥ -4x

Next, add 6

8x ≥ -4x + 6

Add 4x

12x ≥ 6

Divide

x ≥ 0.5

Now we can plug 0.5 into the original expression to verify if it's true.

2(4 * 0.5 - 3) ≥ -3(3 * 0.5) + 5 * 0.5

-2 ≥ -2

Because this is a greater than or equal to question, the equation is valid.

x ≥ 0.5