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zvonat [6]
4 years ago
15

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

Mathematics
2 answers:
Montano1993 [528]4 years ago
8 0

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

dezoksy [38]4 years ago
6 0

<u>Answer:</u>

x > -3

<u>Step-by-step explanation:</u>

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

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