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$- 5(3x - 6)+5geq - 25$

Question

$- 5(3x - 6)+5geq - 25$

Explanation:

Step1: Expand the left - hand side

$-5(3x - 6)+5=-15x + 30+5=-15x+35$
So the inequality becomes $-15x + 35\geqslant - 25$.

Step2: Subtract 35 from both sides

$-15x+35 - 35\geqslant - 25-35$
$-15x\geqslant - 60$

Step3: Divide both sides by - 15 and reverse the inequality sign

Since dividing by a negative number, we have $x\leqslant\frac{-60}{-15}$
$x\leqslant 4$

Answer:

$x\leqslant 4$