Modulus

| 2x + 7 | ≤ 5

• - 6 ≤ x ≤ 1

• x < - 6 or x > - 1

• - 6 ≤ x ≤ - 1

• x ≤ - 6 or x ≥ - 1

3 |2x - 1| > | x + 4|

• x < - 1/7

• x < - 1/7 or x > 7/5

• x < - 1/ 5 or x > 1

• x > 1

| x - 4 | < 7

• x < - 3 or x > 11

• 3 < x < 11

• - 3 < x < 11

• x < 3 or x > 11

| 9 - 2x | > 1

• x < - 4 or x > 5

• 4 < x < 5

• x < - 4

• x < 4 or x > 5

Let w=-√3/2 + 1/2 i calculate the modulus and argument.

• 3, 120^o

• 5, 270^o

• 1, 150^o

• Not Possible

• 3

• -3

• 0

|x + 7 | < | 2 x - 5|

• - 2/3 < x < 12

• x < - 2/3 or x > 12

• x < 2/3 or x > 12

• x < -12 or x > 2/3

3 x - 1 > | 2 x - 3 |

• x < - 2

• x > - 2

• x < - 2 or x > 4/5

• x > 4/5

2 - 3x < | x - 3 |

• x < - 1/2

• x > - 1/2

• - 1/ 2 < x < 5/4

• x > 5/4

Which graph matches the function:
y = -2|x - 3| + 5

• A

• B

• C

• D