Respuesta :
Answer:
[tex] - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3} [/tex]
Step-by-step 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
[tex]step - 1 : difine[/tex]
[tex]5 \leqslant - 3x - 3 \leqslant 10[/tex]
[tex]step - 2 : \\ add \: 3 \: in \: each \: sides[/tex]
[tex]5 + 3 \leqslant - 3x - 3 + 3 \leqslant 10 + 3[/tex]
[tex]8 \leqslant - 3x \leqslant 13[/tex]
[tex]step - 3 : \\ divide \: - 3\: from \: each \: sides \: \\ and \: swap \: the \: inequalily[/tex]
[tex] \therefore - \frac{8}{3} \geqslant x \geqslant - \frac{13}{3} [/tex]
