Solve the inequality and SHOW ALL WORK Plz Help Now Due In 15 minutes −(1+5x)−6(−1+5x)≤−65

Question

asked Nov 25, 2021 224k views

1 Answer

Dave Barnett · Answer 1 · 2021-11-30T17:18:50+0000

$- 1 - 5x + 6 - 30x \leqslant - 65$

$- 35x + 5 \leqslant - 65$

Factoring -5

$- 5(7x - 1) \leqslant - 65$

Divided sides by -5

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Point :

If the sides of an inequality are multiplied by or divided by a negative number, the direction of the inequality changes and returns.

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$( - 5)/( - 5)(7x - 1) \geqslant ( - 65)/( - 5) \\$

$7x - 1 \geqslant 13$

Plus sides 1

$7x - 1 + 1 \geqslant 13 + 1$

$7x \geqslant 14$

Divided sides by 7

$(7)/(7)x \geqslant (14)/(7) \\$

$x \geqslant 2$

Done ♥️♥️♥️♥️♥️