Solve the inequality.
2(4x - 3) 2-3(3x) + 5x?
ox20.5
ox22
0 (-0, 0.5]
o 2]

Option 1) x ≥ 0.5

Step-by-step explanation:

The given inequality is :     2(4x - 3) ≥ -3(3x) + 5x

And the options are:

1) x ≥ 0.5

2) x ≥ 2

3) (–∞, 0.5]

4) (–∞, 2]

So, the solution is as following:

2(4x - 3) ≥ -3(3x) + 5x

8x - 6≥ -9x + 5x

8x + 9x - 5x ≥ 6

12 x ≥ 6                

x ≥ 6/12

x ≥ 0.5

The answer is option 1) x ≥ 0.5

option: d is correct

step-by-step explanation:

the formula of a slope:

from a table we have

substitute:

the slope of f(x) is -1.

the graph of funcfion g(x) is a horizontal line. the slope of a horizontal line is equal 0. therefore the slope of g(x) is 0.

-1 < 0