Question

5 ≤ - 3x- 3 ≤ 10 solve the inequality for x

Answer 1

`- (8)/(3) \geqslant x \geqslant - (13)/(3)`

Explanation:

to understand this

you need to know about:

• inequality
• solving inequality
• PEMDAS

given:

5 ≤ - 3x- 3 ≤ 10

to solve:

x

let's solve:

few notes about inequality

the direction of the inequality doesn't change if you

• Add (or subtract) a number from both sides
• Multiply (or divide) both sides by a positive number
• Simplify a side

the direction of the inequality does change

if you

• Multiply (or divide) both sides by a negative number
• Swapping left and right hand sides

`step - 1 : difine`

`5 \leqslant - 3x - 3 \leqslant 10`

`step - 2 : \\ add \: 3 \: in \: each \: sides`

`5 + 3 \leqslant - 3x - 3 + 3 \leqslant 10 + 3`

`8 \leqslant - 3x \leqslant 13`

`step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily`

`\therefore - (8)/(3) \geqslant x \geqslant - (13)/(3)`