Question

The number of positive integral values of m satisfying the inequalities 8m + 35 > 75 and 5m + 18 < 53 is

(a) 4 

(b) 1 

(c) 0 

(d) 2

Answer 1

(b) 1

8m + 35 > 75 and 5m + 18 < 53 

⇒ 8m > 40 ⇒ 5m < 35 

⇒ m > 5 ⇒ m < 7 

∴ There is only one integral value of m, i.e., m = 6 satisfying the given inequalities.