Question

which number line represents the solution to the problem below? 2x + 20 < 43

Explanation:

Step1: Isolate the variable term

Subtract 20 from both sides of the inequality $2x + 20<43$.
$2x+20 - 20<43 - 20$
$2x<23$

Step2: Solve for x

Divide both sides of the inequality $2x<23$ by 2.
$x < \frac{23}{2}=11.5$

On a number - line, the solution of $x < 11.5$ is represented by an open circle at 11.5 (since the inequality is strict, $x$ cannot equal 11.5) and an arrow pointing to the left. Among the given number - lines, the one with an open circle to the left of 12 (closer to 11.5) and an arrow pointing left is the correct one.

Answer:

The number - line with an open circle to the left of 12 and an arrow pointing left.