Question

Solve this inequality 2(4x-3)≥-3(3x)+5x?

Answer 1

The first option, x is greater than and equals to 0.5

Answer 2

Answer:

x ≥0.5

Step-by-step explanation:

Given : 2(4x-3)≥-3(3x)+5x.

To find : solve this inequality.

Solution : We have given that

2(4x-3)≥-3(3x)+5x.

Distributes 2 over (4x-3) and -3 over 3x.

8x - 6 ≥ -9x + 5x .

8x - 6 ≥ -4x .

On adding both side by 4x

8x + 4x - 6 ≥ 0 .

12 x - 6 ≥ 0

On adding both sides by 6.

12 x ≥ 6.

On dividing both sides by 12.

x ≥ $\frac{6}{12}$ .

x ≥ $\frac{1}{2}$ .

x ≥0.5.

Therefore, x ≥0.5