Question

What is the solution of 0.2x - 4 - 2x < -0.4 and 3x + 2.7 <3

Answer 1

Answers:

1) x > - 2

2) x < 0.1

Explanatt

The given inequalities are:

1) 0.2x - 4 -2x < -0.4

2) 3x + 2.7 < 3

Solution to number 1:

0.2x - 4 - 2x < -0.4

Collect like terms

0.2x - 2x < -0.4 + 4

-1.8x < 3.6

Divide both sides by 1.8

`\begin{gathered} (-1.8x)/(1.8)<(3.6)/(1.8) \\ -x\text{ < }2 \\ x\text{ > -2} \end{gathered}`

Solution to number 2:

3x + 2.7 < 3

Collect like terms

3x < 3 - 2.7

3x < 0.3

Divide both sides by 3

`\begin{gathered} (3x)/(3)<(0.3)/(3) \\ x\text{ < 0.1} \end{gathered}`