Answer:
x ≥[tex]\frac{-5}{2}[/tex]
Step-by-step explanation:
step(i):-
Given inequality
3x + 7 ≥ x +2
subtracting '2' on both sides, we get
⇒ 3x + 7 -2 ≥ x+2-2
⇒ 3 x + 5 ≥ x
subtracting 'x' on both sides, we get
3x +5 -x≥ x-x
⇒ 3x +5 -x ≥ 0
⇒ 2 x + 5≥ 0
Step(ii):-
subtracting '5' on both sides ,we get
2 x + 5 -5 ≥ 0-5
⇒ 2 x ≥ -5
⇒ [tex]\frac{2}{2} x\geq \frac{-5}{2}[/tex]
Final answer:-
⇒ x ≥[tex]\frac{-5}{2}[/tex]
