The solution set of the inequation |x+2|≤5 is
(-7,5)
[-7,3]
[-5,5]
(-7,3)
|x+2|≤5⇒ −5≤x+2≤5 [∵ |x|≤a⇒ −a≤x≤a]⇒ −5−2≤x≤5−2 [Subtracting 2 throughout]⇒ −7≤x≤3⇒ x ϵ [−7,3]
Find the solution set for the following inequation: x+52<−52+5x; xϵR
The solution set for the inequation -3 ≤ x ≤ 3, x ∈ I is
The solution of inequality 5−2x3≤x6−5 is