Algebra 1 Absolute Value Review

Solve:

|2x - 3| < 5

• 4 < x < -1

• -1 < x < 4

• x = 4 and x = -1

• x > -1 or x < 4

Solve:

|5x - 1| + 3 = 9

Solve:

|v + 8| − 5 < 2

• -15 < v < -1

• -1 < v < -15

• -5 < v < -1

• v > -15 or v > -1

Solve:
|x + 4| - 8 > 2

• x > 6 and x < 10
• x > 6 or x < -14
• all real numbers
• no solution

When you graph an inequality, you use a closed circle when you use which symbols?

• ≤, ≥ 
• <, >

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

• <, >
• ≤, ≥ 

Solve.

|3v| > 21

• v > 7 or v < -7

• v ≥ 7 or v ≤ -7

• v > -7 or v < 7

• v > -7 or v > 7

Solve.

|4 + n| < 3

• n > 1 or n < -7

• n > -1 or n < -7

• -7 < n < -1

• no solution

Solve:

|-n + 7| ≥ 9

• n > 2 or n < -16

• n > -2 or n < 16

• -2 ≤ n ≤ 16

• n ≤ -2 or n ≥ 16

Solve:

|5x - 2| + 7 > 39

• 6.8 < x > -6

• x = -6 or x = 6.8

• x > 6.8 and x < -6

• x > 6.8 or x < -6