###### Advertisements

###### Advertisements

Solve for x: `|3 - 3/4x| ≤ 1/4`

###### Advertisements

#### Solution

`(-1)/4 ≤ 3 - 3/4 x ≤1/4`

`- 1/4 - 3 ≤ - 3/4x`

`- 13/4 ≤ (-3)/4x`

⇒ 3x ≤ 13

⇒ x ≤ `13/3` ......(1)

`-3/4 ≤ 1/4`

`- 3/4 x ≤ 1/4 - 3(= -11/4)`

`-(3x)/4 ≤ (-11)/4`

⇒ 3x ≥ 11

⇒ `x ≥ 11/3` ......(2)

From (1) and (2)

⇒ `11/3 ≤ x ≤ 13/3`

#### APPEARS IN

#### RELATED QUESTIONS

Solve for x: |3 − x| < 7

Solve for x: |4x − 5| ≥ −2

Solve for x: |x| − 10 < −3

Solve `1/(|2x - 1|) < 6` and express the solution using the interval notation

Solve −3|x| + 5 ≤ −2 and graph the solution set in a number line

Solve 2|x + 1| − 6 ≤ 7 and graph the solution set in a number line

Solve `1/5|10x - 2| < 1`

Solve |5x − 12| < −2

Choose the correct alternative:

If |x + 2| ≤ 9, then x belongs to

Choose the correct alternative:

If `("k"x)/((x + 2)(x - 1)) = 2/(x + 2) + 1/(x - 1)`, then the value of k is

Choose the correct alternative:

If `(1 - 2x)/(3 + 2x - x^2) = "A"/(3 - x) + "B"/(x + 1)`, then the value of A + B is