Solving and Graphing Two-Step Inequalities and Equations

Solve
-5m < 10

• m < -2

• m > -2

• m < -50

• m > -50

For the system of inequalities below, which ordered pairs are solutions? Select all that apply.

• (-2, 0)

• (0, -3)

• (1, -5)

• (5, 5)

• (-5, 5)

When graphing the below inequality, which type of line would you use?

• solid

• dotted

• shaded

• unshaded

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"

| 2x + 12 | < 8
Which is the correct first step?

• 2x + 12 < 8 and 2x+12 >-8

• 2x + 12 < 8 or 2x+12 >-8

• 2x + 12 < 8 and 2x+12 <-8

• 2x + 12 < 8 or 2x+12 >-8

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

| x - 6 | < 4
Is this an "and"  or an "or" problem?

• and

• or

• v>5 or v<-5
• v≥5 or v≤-5
• v>-5 or v<5
• all real numbers

• no solution
• -6 ≤ r ≥ 8
• 6 > r > -8
• -6 < r < 8

Write an inequality for Graph 4.

• -2 < x < 5

• x < -2 or x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5