Question

Solve the inequation:
`3/4 "x" - 6 ≤ "x" - 7`

Answer 1

`(3/4) "x" - 6 ≤ "x" - 7`
Multiplying by 4 on both sides, we get
3x – 24 ≤ 4 – 28
Subtracting 3x from both sides, we get
– 24 ≤ x – 28
Adding 28 on both the sides, we get
∴ 4 ≤ x
i.e., x ≥ 4
i.e., x takes all real values greater or equal to 4.
∴ the solution set is [4, ∞]