## Practice questions

- Given that
*x*is an integer, for what value of*x*isand

*x*+ 4 < 16?**A.**7**B.**8**C.**10**D.**12**E.**13 - Which of the following represents all possible solutions for
*x*in the inequality –2*x*– 7 < 3*x*+ 5?

## Answers and explanations

- The correct answer is Choice
**(C).**Instead of working out complex calculations, first examine the answer choices. Based on the second equation, you can eliminate Choices (D) and (E). Neither 13 + 4 nor 12 + 4 is less than 16.

Then plug the remaining options into the first equation. Because you're determining which answer results in a value greater than 16, start with the greatest value, 10.

If

*x*is 10 in the first expression, thenwhich is certainly more than 16. The first equation is valid.

Try the second: 10 + 4 < 16. This inequality is also true, so the answer must be Choice (C).

You can try the other options, but neither

*x*= 7 nor*x*= 8 results in a value greater than 16. - The correct answer is Choice
**(B).**Solve the inequality just as you would an ordinary equation. Move all the constants to the right and all the

*x*terms to the left:Choice (B) is the answer.

Choice (A) is wrong because you must change the direction of the sign when you divide both sides of an inequality by a negative value.