Question

Given: x + 5 ≥ 10. Choose the graph of the solution set.

what would the arrow on the graph look like. Would the circle be opened or closed? thanks

Answer 1

Let's solve the inequality. Subtract 5 from both sides. The result will be

x ≥ 5. This states, "x is equal to or greater than 5."

Plot 5 on the number line, using a dark solid dot. Then draw an arrow from that point to the right.

Answer 2

The required figure is shown in figure 1.

Use Closed circle.

Explanation:

Consider the provided inequality.

x + 5 ≥ 10

Subtract 5 from both the sides.

x + 5 - 5 ≥ 10 - 5

x ≥ 5

Here the sign of inequality is ≥, So use closed circle.

The value of x is greater or equal to 5. That means the value of x can be any number greater or equal to 5.

So draw a straight line with a closed circle on 5 and the arrow goes to the right of 5.

Closed circle on 5 and all numbers to the right shaded.

The required figure is shown in figure 1.