Chandrika1010101
If I(-1/2)x+3l<10
Which must me true?
A)x>-100
B)x>0
C)14<x<26
D)none of the above
I guess A should be the answer?
If we simplify the given inequality, we get -14<x<26.
A) all values in the range -14<x<26 satisfy x>-100. Thus, A must be true.
B) x>0 need not be true. For instance, what if x = 0? The inequality is still satisfied. We can see that x can take some negative values too (-12, say).
C) Need not be true. We can see that values such as x = 0 and x = 6 will also satisfy the inequality
So, overall, choice A works. All legit values satisfying the inequality are >-100.