Solving Inequalities Algebra Review

-2x + 2 > 3x - 8 

• x > -9

• x > 2

• x < -9 

• x < 2

Twice a number is smaller than 42.

• 2x < 42

• 2x > 42

• 2x ≤ 42

• 2x ≥ 42

Tags

CCSS.6.EE.B.8

Solve.
-5|x - 4| > -20

• x < 8 and x > 0

• x > 8 or x < 0

• all real numbers

• no solution

| x - 2 | > 3
Is this an "and"  or an "or" problem?

• and

• or

What is the first step?

• Get the absolute value alone by dividing both sides by 5

• Drop the absolute value bars and add 7 and 5 together

• Get the absolute value alone by subtracting 5 from both sides

Which compound inequality represents the graph?

• m < -1 OR m > 2

• -1 < m < 2

• m > -1 OR m < 2

| -8x | < 8

What is the correct first step?

• separate into two inequalities with an "and"

• separate into two inequalities with an "or"

• divide both sides by -8

• add 8 to both sides

What is the correct first step?

• divide by 10

• multiply by 10

• make it two inequalities with an "or"

• make it two inequalities with and "and"

What statement does the shaded region represent?

• A or B

• A and B

• A

• B

Lucy’s pet dog receives no more than 22 ounces of food each day. Each scoop of food Lucy gives the dog contains 5.5 ounces of food. How many scoops can Lucy give her dog without going over the limit? Write and solve an inequality to represent the situation.

• x < 4

• x > 4