Question

What is the solution of the inequality?

2 x less or equal than 3 left parenthesis x minus 0.6 right parenthesis

a. x less or equal than 1.8

b. x greater or equal than 1.8


c. x less or equal than negative 1.8


d. x greater or equal than negative 1.8

Answer 1

the answer is option B

Explanation:

Answer 2

Answer: Option b

b. x greater or equal than 1.8

Explanation:

In this problem we have the following inequality:

`2x\leq 3(x-0.6)`

To solve it we must group the x on one side and the constants on the other side

`2x\leq 3(x-0.6)`

Apply distributive property on the right side of the inequality

`2x\leq 3x-3*0.6`

`2x\leq 3x-1.8`

Subtract 3x on both sides of the inequality

`2x-3x\leq 3x-3x-1.8`

`-x\leq-1.8`

Multiply by -1 both sides of the inequality

`x\geq 1.8`

The answer is the option b