Question

Modulus! can anyone explain me this QUICK

Answer 1

| 3 - 4x | ≤ 7

Either it will open as positive or negative:

So,

3 - 4x ≤ 7

4x - 3 ≥ - 7

4x ≥ -4

x ≥ - 1

x + 1 ≥ 0

C.P = -1

x € [ - 1 , ∞ )

Also,

3 - 4x ≥ - 7

4x - 3 ≤ 7

4x - 10 ≤ 0

2x - 5 ≤ 0

C.P = 5 / 2

x € ( - ∞ , 5/2 ]

On intersecting both values, we get:

x € [ -1, 5/2 ]