Solve the inequality
2(4x - 3) >= - 3(3x) + 5x ?

A.)x >= 0.5
B.)x >= 2
C.)(- infty,0.5)
D.)(- infty,2]

The answer to your question is the letter A) x ≥ 0.5

Step-by-step explanation:

Inequality

                           2(4x - 3) ≥ -3(3x) + 5x

Process

1.- Expand

                            8x - 6 ≥  - 9x + 5x

2.- Simplify

                            8x - 6 ≥ - 4x

3.- Add 6 units in both sides

                           8x - 6 + 6 ≥ -4x + 6

4.- Simplify

                                8x ≥ -4x + 6

5.- Add 4x in both sides

                                8x + 4x ≥ -4x + 6 + 4x

6.- Simplify

                                12x ≥ 6

7.- Divide by 12 both sides

                                12x/12 ≥ 6/12

8.- Simplify

                                    x ≥ 1/2  or 0.5

find the magnitude of the trig term  

csc

(

x

)

−

1

by taking the absolute value of the coefficient.

1

find the lower bound of the range.

tap for more

y

=

−

2

find the upper bound of the range.

tap for more

y

=

0

the range is  

y

≤

−

2

or  

y

≥

0

.

(

−

∞

,

−

2

]

∪

[

0

,

∞

)

{

y

|

y

≤

−

2

,

y

≥

0

}

step-by-step explanation: