For which values of x is the inequality 3(1 + x) < x + 6 true?
A)0 & 1
B)2&3
C)4 & 5
D)6&7

(0,1)

Step-by-step explanation:

3*(1+x)<x+6

3*1+3*x<x+6

3+3x<x+6

-x        -x

2x+3<6

-3      -3

2x<3

x<3/2

so x<1.5

on (0,1) the inequality is true

5x+40

5(x + 8)

7x - 49

7(x - 7)

18x + 9

9(2x + 1)

15x - 10

5(3x - 2)

step-by-step explanation:

for number one all you have to do is factor 5 out of 5x + 40

for number 2 factor 7 out of 7x - 49

for number three factor 9 out of 18x + 9

for number four factor 5 out of 15x - 10