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katovenus [111]
3 years ago
15

Help if possible, thanks.

Mathematics
1 answer:
lukranit [14]3 years ago
4 0

Answer:

1,2,3,6 are congruent

Step-by-step explanation:

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5 ≤ - 3x- 3 ≤ 10 solve the inequality for x
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<h3>- \frac{8}{3}  \geqslant x   \geqslant - \frac{13}{3}</h3>

Step-by-step explanation:

<h3>to understand this</h3><h3>you need to know about:</h3>
  • inequality
  • solving inequality
  • PEMDAS
<h3>given:</h3>

5 ≤ - 3x- 3 ≤ 10

<h3>to solve:</h3>

x

<h3>let's solve:</h3>

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 -  \frac{8}{3} \geqslant x \geqslant   - \frac{13}{3}

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<u>Negative term: -(x-3)</u>

Multiply

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Rearrange and Add up

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Step-by-step explanation:

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