Can I get some help with this question? Solve 3(x + 2) > x.

Question

Can I get some help with this question? Solve 3(x + 2) > x.

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Ivy 6 days 2021-09-14T20:46:29+00:00 2 Answers 0

Answers ( )

  1. Emma
    0
    2021-09-14T20:47:32+00:00

    Answer:

    x > -3

    Step-by-step explanation:

    We are given the following inequality that we are to solve:

    3(x+2)>x

    Applying the distributive property of multiplication on the left side of the inequality to get:

     3 x + 6 > x

    Rearranging the inequality:

     3 x - x > - 6

     2 x > - 6

     x > \frac { - 6 } { 2 }

    x > -3

  2. Emma
    0
    2021-09-14T20:47:58+00:00

    Answer:

    \large\boxed{x>-3\to\{x\ |\ x>-3\}\to x\in(-3,\ \infty)}

    Step-by-step explanation:

    3(x+2)>x\qquad\text{use the distributive property:}\ a(b+c)=ab+ac\\\\(3)(x)+(3)(2)>x\\\\3x+6>x\qquad\text{subtract 6 from both sides}\\\\3x+6-6>x-6\\\\3x>x-6\qquad\text{subtract x from both sides}\\\\3x-x>x-x-6\\\\2x>-6\qquad\text{divide both sides by 2}\\\\\dfrac{2x}{2}>\dfrac{-6}{2}\\\\x>-3

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