Solving and Graphing Two-Step Equations and Inequalities

Write an inequality for Graph 4.

• -2 < x < 5

• x < -2 or x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

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

• and

• or

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

What is the first step? 

• Get absolute value alone by subtracting 5 from both sides

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

• Split into two equations

What kind of compound inequality is this?

• AND compound inequality

• OR compound inequality

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

• no solution
• a> -1/6 or a< -5/6
• a>1/2 or a< -3/2
• all real numbers

• A

• B

• C

• D

-4x + 14 ≤ 54

• x ≥ - 10

• x ≤ -10

• x ≥ 10

• x ≤ 10

Solve:
3x + 7 = -8

• 5

• -5

• -12

• -18