Question

47. If the sum of 2r and 2r + 3 is less than

11, which of the following is a possible
value of r?
(A) 11
(B) 10
(C) 3
(D) 2
(E) 1

Answer 1

(E) 1

Explanation:

the sum of 2r and 2r+3 less than 11 means :

2r+2r+3<11

we simplify we get :

4r+3<11

we take the 3 to the left :

4r<11-3

means

4r<8

we divide both sides by 4 we get :

r<2

so among all those values only the 1 satisfies the condition 1<2

so the answer is E

Answer 2

(E) 1

Explanation:

2r+ (2r+3 ) < 11

Combine like terms

4r+3 < 11

Subtract 3 from each side

4r +3-3 < 11-3

4r < 8

Divide each side by 4

4r/4 < 8/4

r <2

The only possible choice is 1