Question

solve the inequality and graph the solution.
3(4x + 1)<3
choose the correct graph below.
a. graph with arrow ending at 2, filled - in circle
b. graph with arrow starting at 0, filled - in circle
c. graph with arrow ending at 0, open circle
d. graph with arrow starting at 4, filled - in circle

Explanation:

Step1: Expand the left - hand side

$3(4x + 1)=12x+3$, so the inequality becomes $12x + 3<3$.

Step2: Subtract 3 from both sides

$12x+3 - 3<3 - 3$, which simplifies to $12x<0$.

Step3: Divide both sides by 12

$\frac{12x}{12}<\frac{0}{12}$, resulting in $x < 0$.

The graph of $x < 0$ has an open - circle at 0 (since $x$ cannot equal 0) and an arrow pointing to the left.

Answer:

C.