Question

If the replacement set is the set of real number, solve:

(i) 4x ≥ − 16

(ii) 8 – 3x ≤ 20

(iii) 5 + x/4 > x/5 + 9

(iv) (x+3)/8 < ( x−3)/5

Answer 1

(i) – 4x ≥ − 16

X ≤ 4

Since, the replacement set of real numbers.

∴ solution set = { x:x ∈ R and x ≤ 4}

(ii) 8 – 3x ≤ 20

− 3x ≤ 20 – 8

− 3x ≤ 12

X ≥ − 4

Since the replacement set of real numbers.

∴ solution set = { x:x ∈ R and x ≤ − 4}

Since the replacement set of real numbers.

∴ solution set = { x:x ∈ R and x > 80}

Since the replacement set of real numbers.

∴ solution set = { x:x ∈ R and x > 13}