Advertisements
Advertisements
Question
Solve for x: `|3 - 3/4x| ≤ 1/4`
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
