Question

The solution of inequations x > -2 and x > 5 where x ∈ is

Answer 1

Answer:

N/a

Solution

x−2x+5>2.

⇒x−2x+5−2>0

⇒x−2−2x−10x+5>0

⇒−(x+12)x+5>0

⇒x+12x+5<0

⇒(x+12>0andx+5<0)

or (x+12<0andx+5>0

⇒(x>−12andx<−5)

or (x<−12andx>−5)

but x<−12and x>−5 is not valid. ltbr. ∴ xgt -12 and x lt -5

⇒−12<x<−5

⇒x∈(−12,−5).

Step-by-step explanation:

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