Question

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

Answer 1

Answer:

$\frac{7x + 6}{2} \leqslant {3x + 2}$

a. x=-3✓

b. x=-2✓

c. x=-1

d. x=0

e. x=1

f. x=2

g. x=3

Step-by-step explanation:

$\frac{7x + 6}{2} \leqslant 3x + 2 \\ 7x + 6 \leqslant 2(3x + 2) \\ 7x + 6 \leqslant 6x + 4 \\7x - 6x \leqslant 4 - 6 \\ \boxed {x \leqslant - 2}$

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

x→{-∞,-2]