Solving Inequalities and Solution Sets

Based on the image above, which inequality(s) is true?

Tags

CCSS.6.EE.B.8

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

This is Alex's work on an inequality problem. Where did they make an error?

• 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.

Tags

CCSS.6.EE.B.8

Match the following inequalities to their solution sets.

• -2x+6 > 3x-34

• (-2, ∞)

• 4(x+2) < -2(x-1)

• (-∞,8)

• 3x-7(x+3) < -13

• (-∞, -1)

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

• Solve each inequality.

• Graph the solution set and write the interval notation.

• Create two inequalities; one positive, one negative.

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

Tags

CCSS.6.EE.B.8

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

Tags

CCSS.6.EE.B.8

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.

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

Which inequality represents all the solutions of $9\left(4x-8\right)<4\left(6x+9\right)$ ?

Tags

A.5a