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What is the solution to the inequality 30 < 2x + 16

2 Answers

3 votes

Explanation:

30 < 2x + 16

30 - 16 < 2x

14 < 2x

14/2 < x

7 < x

or

x > 7

#CMIIW

User Jakub Kozera
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0 votes

Answer: x > 7

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is 2x by subtracting 16 from both sides.

That leaves you with 14 < 2x.

To get x by itself, divide both sides by 2 and 7 < x.

I like to put my variable on the left side but if we do that,

we must switch the direction of the inequality sign.

So 7 < x is the same as x > 7.

However, 7 < x is still the right answer, just a matter of preference.

User Jeremycole
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4.2k points