Select ALL of the values that are solution to the inequality below. (7x + 6)/(2) \leqslant 3x + 2 ​a. x=-3 b. x=-2 c. x=-1 d. x=0 e. x=1 f. x=2 g. x=3

Question

Select ALL of the values that are solution to the inequality below.


`(7x + 6)/(2) \leqslant 3x + 2`
​a. x=-3
b. x=-2
c. x=-1
d. x=0
e. x=1
f. x=2
g. x=3

Answer 1

`(7x + 6)/(2) \leqslant {3x + 2}\\`

a. x=-3✓

b. x=-2✓

c. x=-1

d. x=0

e. x=1

f. x=2

g. x=3

Explanation:

`(7x + 6)/(2) \leqslant 3x + 2 \\ 7x + 6 \leqslant 2(3x + 2) \\ 7x + 6 \leqslant 6x + 4 \\7x - 6x \leqslant 4 - 6 \\ \boxed {x \leqslant - 2}`

All the values that are equal to or less than -2 are the solution of the given inequality i.e.,

x→{-∞,-2]