Question

which three of these ages can a person be to set up an account? 13 14 19 let x be an age, in years. x ≥ 13 graph the inequality x ≥ 13. does the graph of x ≥ 13 have an open circle or a closed circle at 13? closed: •

Explanation:

Sub - question 1: Which THREE of these ages can a person be to set up an account?

Step 1: Analyze the inequality

The inequality given is \(x\geq13\), which means the age \(x\) should be greater than or equal to 13.

Step 2: Check each age

• For age 13: Since \(13 = 13\), it satisfies \(x\geq13\).
• For age 14: Since \(14>13\), it satisfies \(x\geq13\).
• For age 19: Since \(19 > 13\), it satisfies \(x\geq13\).

In the notation of inequalities on a number line, when the inequality is of the form \(x\geq a\) (or \(x\leq a\)), we use a closed circle at \(a\) because the value \(a\) is included in the solution set. For the inequality \(x > a\) (or \(x < a\)), we use an open circle because the value \(a\) is not included. Here, the inequality is \(x\geq13\), so 13 is included in the solution set, and we use a closed circle.

Step 1: Determine the circle type

As established, for \(x\geq13\), we use a closed circle at 13.

Step 2: Determine the direction of the line

Since \(x\) is greater than or equal to 13, the line should extend to the right of 13 (towards larger numbers). So we place a closed circle at 13 and draw a line to the right.

Answer:

13, 14, 19

Sub - question 2: Does the graph of \(x\geq13\) have an open circle or a closed circle at 13?