Question 1

Which of the following is the correct interval notation for the solution to the inequality $$x \u003e 2$$?

Accepted Answer

$$(2, \infty)$$

Question 2

Given the inequality $$x \leq -2$$, which of the following best represents its solution in interval notation?

Accepted Answer

$$(-\infty, -2]$$

Question 3

If $$x \u003c 2$$, what is the correct interval notation for the solution set?

Accepted Answer

$$(-\infty, 2)$$

Question 4

Which of the following inequalities corresponds to the interval $$[2, \infty)$$?

Accepted Answer

$$x \geq 2$$

Question 5

What is the interval notation for the solution to $$-2 \u003c x \u003c 2$$?

Accepted Answer

$$(-2, 2)$$

Question 6

Which inequality is represented by the interval $$[-2, 2]$$?

Accepted Answer

$$-2 \leq x \leq 2$$

Question 7

A temperature sensor is designed to operate only when the temperature $$T is $$between $$-2$$ and $$2$$ degrees Celsius, inclusive. Which interval notation correctly describes the range of $$T$$?

Accepted Answer

$$[-2, 2]$$

Question 8

If a solution set is written as $$(-\infty, 2)$$, which of the following inequalities does it represent?

Accepted Answer

$$x \u003c 2$$

Question 9

Which of the following is true about the interval $$(-\infty, -2]$$?

Accepted Answer

It includes $$-2$$ but not any number greater than $$-2.$$

Question 10

A chemical reaction is safe only if the pH level $$p$$ satisfies $$p \u003e 2. $$Which interval notation represents the safe pH levels?

Accepted Answer

$$(2, \infty)$$

Question 11

Which of the following is the correct interval notation for the solution to $$x \geq 2$$?

Accepted Answer

$$[2, \infty)$$

Question 12

If a compound inequality is written as $$-2 \u003c x \u003c 2$$, which of the following is true about its interval notation?

Accepted Answer

$$(-2, 2)$$

Question 13

A medical test is valid only for values of $$x$$ such that $$x \leq -2. $$Which interval notation represents the valid range?

Accepted Answer

$$(-\infty, -2]$$

Question 14

Which of the following inequalities is equivalent to the interval $$[2, \infty)$$?

Accepted Answer

$$x \geq 2$$

Question 15

If a solution set is $$(-2, 2)$$, which of the following is true?

Accepted Answer

It does not include $$-2 or$$ $$2.$$

Solving Linear Inequalities and Interval Notation

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