Question

Question 5(Multiple Choice Worth 5 points) (07.01 MC)Of the following sets, which numbers in {1, 2, 3, 4, 5} make the inequality 3x + 1 > 4 true? {1, 2} {1, 2, 3} {1, 2, 3, 4, 5} {2, 3, 4, 5}

Answer 1

D

Explanation:

3x + 1 > 4

if x=1

3*1 + 1 > 4

3+1 > 4

4 not greater than 4

if x=2

3*2 + 1 > 4

6+1 > 4

7 > 4

if x=3

3*3 + 1 > 4

9+1 > 4

10 > 4

if x=4

3*4 + 1 > 4

12+1 > 4

13 > 4

if x=5

3*5 + 1 > 4

15+1 > 4

16 > 4

Thus, the set is [2,3,4,5], option 4 or D

Answer 2

the answer is {2, 3, 4, 5}

Explanation:

3(2) + 1 > 4 3 times 2 is 6+1=7>4 anything above 2 works

3(3) + 1 > 4

3(4) + 1 > 4

3(5) + 1 > 4