Solving and Graphing Inequality Review

Write an inequality for Graph 4.

• -2 < x < 5

• x < -2 or x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x ≤ 5

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

• 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

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"

Write an inequality for Graph 3.

• x ≤ -2 AND x > 5

• x ≤ -2 OR x > 5

• x ≥ -2 OR x < 5

• -2 ≤ x < 5

Which compound inequality involves <, ≤ when solving absolute value inequalities?

• 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

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

• and

• or

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

• and

• or

When graphing an inequality, you use an open dot when you use which symbol?

• <, >

• ≤, ≥