Question 1

Which of the following represents the solution set in interval notation for the compound inequality $$x + 8  -35$$?

Accepted Answer

$$(-\infty, -8) \cup (-5, \infty)$$

Question 2

What is the solution to the inequality $$x + 8 \u003c 0$$?

Accepted Answer

$$x \u003c -8$$

Question 3

Solve the inequality $$7x \u003e -35$$ and express the solution in interval notation.

Accepted Answer

$$(-5, \infty)$$

Question 4

Which of the following best describes the solution set of a compound inequality formed by the word 'or'?

Accepted Answer

The union of the solution sets of the two inequalities.

Question 5

If $$x + 8  -35$$, which of the following values of $$x is $$NOT in the solution set?

Accepted Answer

$$x = -7$$

Question 6

Which of the following statements is true about the solution set of $$x + 8  -35$$?

Accepted Answer

It includes all $$x$$ such that $$x  -5.$$

Question 7

A chemical process is safe if the temperature $$T$$ satisfies $$T + 8  -35. $$Which temperature is NOT safe?

Accepted Answer

$$T = -7$$

Question 8

Which step is necessary to isolate $$x in $$the inequality $$x + 8 \u003c 0$$?

Accepted Answer

Subtract 8 from both sides.

Question 9

If a patient’s blood pressure $$x$$ must satisfy $$x + 8  -35 to be $$considered at risk, which of the following values is considered at risk?

Accepted Answer

$$x = -10$$

Question 10

Which of the following is the correct graph for the solution set of $$x + 8 \u003c 0$$?

Accepted Answer

A number line with an open circle at $$-8$$ and shading to the left.

Question 11

Which interval notation represents all real numbers less than $$-8$$?

Accepted Answer

$$(-\infty, -8)$$

Question 12

A company will hire applicants if their test score $$x$$ satisfies $$x + 8  -35. $$Which score will NOT result in being hired?

Accepted Answer

$$x = -7$$

Question 13

Which of the following is the correct solution to $$7x \u003e -35$$?

Accepted Answer

$$x \u003e -5$$

Question 14

If $$x$$ represents the number of hours a student studies and must satisfy $$x + 8  -35 to $$qualify for a special program, which of the following is NOT a qualifying value?

Accepted Answer

$$x = -7$$

Question 15

Which of the following best describes the union of the solution sets for $$x  -5$$?

Accepted Answer

$$(-\infty, -8) \cup (-5, \infty)$$

Solving Compound Inequalities with 'Or' (Union of Solution Sets)

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