Question

6. 7 ≥ - 0. 2 x + 4. 5 solve the inequality

Answer 1

For this case we have the following inequality:

`6.7\geq 0.2x + 4.5`

Subtracting 4.5 from both sides of the inequality:

`6.7-4.5\geq -0.2x\\2.2\geq -0.2x`

Dividing between 0.2 on both sides:

`\frac {2.2} {0.2} \geq-x\\11 \geq-x`

We multiply by -1 on both sides, taking into account that the sense of inequality changes:

`-11 \leq x`

ANswer:

`x \geq-11`

Answer 2

-11≤x

Explanation:

Given

6.7 ≥ -0.2x +4.5----------------collect like terms

6.7-4.5 ≥ -0.2x--------------divide by -0.2 both sides

2.2/-0.2 ≥ -0.2/-0.2x-------------------reverse the sign

-11 ≤ x