Question

How do you solve the inequality `-3x< -6` or `x + 5<= -2` ?

Answer 1

See explanation

Explanation:

Given:

`-3x<-6" ".............Equation(1)`
`x+5<=-2" "............Equation(2)`

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`color(blue)("Consider "Equation(1))`

Multiply both sides by (-1) to make the `x` term positive.

This action reverses the inequality sign as well as changing the signs.:

`+3x>+6`

Divide both sides by 3

`x>6/3`

`color(green)(x>2" "................Equation(1_a))`

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`color(blue)("Consider "Equation(2))`

Subtract 5 from both sides

`color(green)(x<=-7" "...................Equation(2_a))`
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If you were to combine these you would have

`2 < x <= -7`