If |x+2|≤9,then
xϵ(−7,11)
xϵ[−11,7]
xϵ(−∞,−7)∪(11,∞)
xϵ(−∞,−7)∪[11,∞)
Given,|x+2|≤9⇒−9≤x+2≤9 [∵|x|≤a⇒−a≤x≤a]⇒−9−2≤x≤9−2⇒−11≤x⩽7⇒xϵ[−11,7]
If |x+3|≥10,then
If [x]2−5[x]+6=0, where [.] denotes the greatest integer function, then
If x and a are real numbers such that a>0 and |x|>a,then