[tex]17 \leqslant - 3x + 2 \leqslant 26[/tex]
Subtract sides -2
[tex]17 - 2 \leqslant - 3x + 2 - 2 \leqslant 26 - 2 \\ [/tex]
[tex]15 \leqslant - 3x \leqslant 24[/tex]
Divided sides by -3
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Point :
When the sides of a inequality multiply or divided by an negative number It changes direction and returns them.
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Thus ;
[tex] \frac{15}{ - 3} \geqslant \frac{ - 3}{ - 3}x \geqslant \frac{24}{ - 3} \\ [/tex]
[tex] - 5 \geqslant x \geqslant - 8[/tex]
[tex] - 8 \leqslant x \leqslant - 5[/tex]
Thus the correct answer is (( D )) .
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