Question

solve the inequality and graph the solution. 7 + 3x < 19. plot the endpoints. select an endpoint to change it from closed to open. select the middle of the segment, ray, or line to delete it.

Explanation:

Step1: Isolate the variable term

Subtract 7 from both sides of the inequality $7 + 3x<19$.
$7+3x - 7<19 - 7$ which simplifies to $3x<12$.

Step2: Solve for x

Divide both sides of the inequality $3x<12$ by 3.
$\frac{3x}{3}<\frac{12}{3}$, so $x < 4$.

Step3: Graph the solution

On the number - line, we have an open circle at 4 (because the inequality is $x < 4$, not $x\leq4$) and an arrow pointing to the left to represent all the values of x that are less than 4.

Answer:

The solution of the inequality is $x < 4$. On the number - line, there is an open circle at 4 and an arrow pointing to the left.