Question

|0.2x +0.6| <0.15
Answer quick

Answer 1

Answer(s):

Inequality Form:

-3.75 < x < -2.25

Interval Notation:

x ∈ ( -3.75, -2.25)

Explanation:

Equation: |0.2x +0.6| <0.15

{0.2x + 0.6 > -0.15

{0.2x + 0.6 < 0.15

{(0.2x + 0.6) + (-0.6) > -0.15 + (-0.6)

{(0.2x + 0.6) + (-0.6) < 0.15 + (-0.6)

{0.2x + 0.6 - 0.6 > -0.15 - 0.6

{0.2x + 0.6 - 0.6 < 0.15 - 0.6

{0.2x > - 0.75

{0.2x < -0.45

{0.2x / 0.2 > - 0.75/0.2

{0.2x / 0.2 < - 0.45/0.2

{x > - 0.75/0.2

{x < - 0.45/0.2

{x > -3.75

{x < -2.25

-3.75 < x < -2.25

Answer: x ∈ ( -3.75, -2.25)

Hope this helps!