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

Respuesta :

Answer: Option b

b. x greater or equal than 1.8

Step-by-step explanation:

In this problem we have the following inequality:

[tex]2x\leq 3(x-0.6)[/tex]

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

[tex]2x\leq 3(x-0.6)[/tex]

Apply distributive property on the right side of the inequality

[tex]2x\leq 3x-3*0.6[/tex]

[tex]2x\leq 3x-1.8[/tex]

Subtract 3x on both sides of the inequality

[tex]2x-3x\leq 3x-3x-1.8[/tex]

[tex]-x\leq-1.8[/tex]

Multiply by -1 both sides of the inequality

[tex]x\geq 1.8[/tex]

The answer is the option b

Answer:

the answer is option B

Step-by-step explanation:

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