Question

solve the inequality and graph the solution on the line provided.
-14 + 5x > 6
answer attempt 1 out of 2
inequality notation:
number line:

Explanation:

Step1: Isolate the term with $x$

Add 14 to both sides.
$$-14 + 5x + 14 > 6 + 14$$
$$5x > 20$$

Step2: Solve for $x$

Divide both sides by 5.
$$\frac{5x}{5} > \frac{20}{5}$$
$$x > 4$$

Step3: Graph on number line

Mark an open circle at 4, shade right.

Answer:

Inequality Notation: $x > 4$
Number Line: Open circle at 4, with all values to the right shaded.