Question

solve the inequality and identify the components of its graph.
3x - 10 > 5
solution: x select
select
this would be graphed on the number line with a/an select circle.
the direction of the line would be facing select .

Explanation:

Step1: Add 10 to both sides

$$3x-10 + 10>5 + 10$$
$$3x>15$$

Step2: Divide both sides by 3

$$\frac{3x}{3}>\frac{15}{3}$$
$$x > 5$$

For graphing:

• Since the inequality is \(x>5\) (not \(x\geq5\)), we use an open circle at \(x = 5\) on the number - line.
• The values of \(x\) that satisfy the inequality are greater than 5, so the direction of the line on the number - line is to the right.

Answer:

Solution: \(x>5\); circle: open; direction: right.