Mathematics: Graph the solution set to this inequality 3x -12 _ 7x+4

Graph the solution set to this inequality 3x -12

224509

18.03.2022

x $\leq$ -4

Step-by-step explanation:

1. 3x-12 $\geq$ 7x+4

add 12 to 12 to cancel it out, add 12 to 4.

2. 3x $\geq$ 7x+16

subtract 7x from 7x to cancel it out, subtract 7x from 3x.

3. -4x $\geq$ 16

divide -4 from -4x to cancel it out, divide -4 from 16.

4. x $\geq$ -4

since division was involved, the inequality symbol needs to be reversed.

ANSWER: x $\leq$ -4

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tanaemichel

30.09.2022

Well if you were to put the problem into words, it'd be:
x/-8 = -25

Thus, to solve for x, multiply both sides by -8:
x/-8(-8) = -25(-8)
x = 200

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