Question

|4x+2| < 26
My choices are;
(A) -7> x >6
(B) -32< x <20
(C) -7< x < 6
(D) -6< x < 6

Answer 1

$$
|4x+2|<26
$$
means
$$
-26<4x+2<26
$$
Now isolate the x variable and reduce fractions:
$$
-26-2<4x<26-2\\
-28<4x<24\\
\cfrac{-28}{4}<x<\cfrac{24}{4}\\
-7<x<6
$$
Make sense?