Inequalities in One Variable

Question 1

Mrs. Valdez wanted to determine the number of people, p, she could safely take in her car to the fun run. She determined that p < 5.

Revolt · Accepted Answer

Mrs. Valdez can take 2 people because 2 < 5.

Question 2

What is the best first step to solve the inequality 5x – 3 ≥ 2?

Revolt · Accepted Answer

Add 3 to both sides of the equation.

Question 3

Nala can spend no more than $150 per month on gasoline. She has already purchased $60 in gas this month. Which inequality can be used to find the maximum number of fill-ups she can purchase during the rest of the month, assuming each fill-up costs $30?

Revolt · Accepted Answer

30n + 60 < 150

Question 4

The solution to an inequality is graphed on the number line.

Revolt · Accepted Answer

{x | x ≤ 4.5}

Question 5

Which statement about solving inequalities is true?

Revolt · Accepted Answer

Adding the same value to both sides of an inequality does not change the solution set.

Question 6

Austin solved an inequality and made an error. 3.5t – 2.75 ≤ 11.25 3.5t – 2.75 + 2.75 ≤ 11.25 + 2.75 3.5t ≤ 14 ≤ t ≥ 4

Revolt · Accepted Answer

Austin should not have changed the inequality sign.

Question 7

The solution to an inequality is given in interval notation as (2, ∞). What is another way to represent this solution set?

Revolt · Accepted Answer

A number line going from negative 5 to positive 5. An open circle appears at positive 2. The number line is shaded between positive 2 and positive 5.

Question 8

The solution set to 6 + 2n > 12 is n > 3. Which are correct representations of this solution? Select two options.{n | n < 3}{n | n ≥ 3}(3, ∞)

Revolt · Accepted Answer

A number line going from negative 5 to positive 5. An open circle appears at positive 3. The number line is shaded from positive 3 to positive 5.; (3, ∞)

Question 9

Solve.5x – 10 ≤ 20

Revolt · Accepted Answer

(–∞, 6]

Question 10

What is the first step in solving the inequality 2x + 3 ≥ 17?

Revolt · Accepted Answer

Subtract 3 from both sides.

Inequalities in One Variable Answers

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