Alg 1 Unit 4 Assessment Solving Inequalities

The solution set for the compound inequality

3x+5 < -16 or -5x - 8 ≤ -13 written in Interval Notation is:

​ ​ ​ ( ​ -∞,​ ​ (a)   ​ or ​ [​ (b)   ,∞​ }

• -7
• 1
• 7
• -1
• -5
• -8

Match the following inequalities to their solution sets.

• 4(x+2) < -2(x-1)

• (-∞,8)

• 3x-7(x+3) < -13

• (-∞, -1)

• -2x+6 > 3x-34

• (-2, ∞)

An inequality that uses "​ (a)   " makes a graph that connects two values like a bridge. An inequality that uses "​ (b)   " creates a graph that extends in opposite directions.

• and
• or
• lesser than
• greater than
• equal

Reorder the following steps to correctly demonstrate how to solve an absolute value inequality.

• Graph the solution set and write the interval notation.

• Create two inequalities; one positive, one negative.

• Solve each inequality.

You must reverse the direction of the inequality anytime you _________ on both sides of the inequality by a negative number.

• add or subtract

• multiple or divide

• simplify

• distribute

When graphing an inequality, an ​open dot is used to show the inequality cannot ​ (a)   the value, but it can come very close to the value.

• equal
• closed
• be less than
• be greater than

Matt needs to buy a car. He can afford a payment of no more than $325 per month and plans to spend at least $200 per month for the payment. To remind himself of his budget, he writes an inequality where x represents the payment amount. Which inequality correctly expresses Matt's car payment budget?

• 200 > x > 325

• 325 < x < 200

• 200 < x < 325

• 200 < x > 325

• The correct answer is not shown.

The weather report for Tuesday through Friday of this week is shown. Choose the correct temperature range for Friday's weather.

(x represents the temperature)

• 31 > x > 44

• x =31>44

• x = 44<31

• 44 < x < 31

• The correct answer is not shown.

A news report states that 2 or 3 college students out of every 10 had admitted to cheating on a test during their time in college. In a class of 300 students, how many students (represented by x) can a professor expect to attempt cheating?

• 2 < x < 10

• 60 < x < 90

• 60 > x > 90

• 10 < x < 30

• 2 < x < 3

• Alex should have started by dividing everything by -5

• Alex did not subtract 3 from -2 correctly

• Alex divided by positive 5 instead of -5.

• Alex did not flip the direction of the inequality after dividing.

• Alex did not make an error.