Inequalities in One Variable

Question 1

What is the solution to the inequality + 4 ≤ 0?

Revolt · Accepted Answer

(–∞, –28]

Question 2

Solve.5x – 10 ≤ 20

Revolt · Accepted Answer

(–∞, 6]

Question 3

Solve.2a + 4 > 12

Revolt · Accepted Answer

{a | a > 4}

Question 4

A family has $35 to spend on dinner. They spend $18 on entrees. Side dishes are $3 each. What is the greatest number of side dishes they can buy?

Revolt · Accepted Answer

5

Question 5

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 6

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 7

Xavier can work no more than 40 hours in a week. He has already worked 24 hours this week. What is the maximum number of 8-hour days Xavier can work for the rest of the week?

Revolt · Accepted Answer

2

Question 8

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 9

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 10

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

Revolt · Accepted Answer

{x | x ≤ 4.5}

Inequalities in One Variable Answers

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