Respuesta :

BasketballEinstein

Answer:

○ A. x² ≤ 16

Step-by-step explanation:

This is the reason why this is the answer:

[tex] - 16 \leqslant {x}^{2} \leqslant 16 \\ \\ -4 \leqslant x \leqslant 4[/tex]

NOT THIS:

[tex] {x}^{2} \geqslant 16 \\ \\ x \geqslant 4 \: or \: x \leqslant -4[/tex]

This graph points in OPPOSITE DIRECTIONS of where they want to go.

I hope this helps you out alot, and as always, I am joyous to assist anyone at any time.

The graph given is the solution set of x² ≤ 16.

How many square roots does a positive number have?

A number can have two square roots. This is because when a negative number is squared, the value is positive and when the positive value of the same number is squared, we get the same value as before.

We can find the function that the graph represents as shown below:

A graph is given. The graph ranges from -4 ≤ x ≤ 4.

We can find the function by substituting a value from the graph in the given options.

This can be done as shown below:

  • Let the inequality be x² ≤ 16 and x be 3.

x² ≤ 16

⇒ 3² ≤ 16

⇒ 9 ≤ 16

This is true. Therefore, this is the inequality of the graph.

  • Let the inequality be x² ≤ 4 and x be 3.

x² ≤ 4

⇒ 3² ≤ 4

⇒ 9 ≤ 4

This is not true. Therefore, this is not the inequality of the graph.

  • Let the inequality be x² ≥ 16 and x be 3.

x² ≥ 16

⇒ 3² ≥ 16

⇒ 9 ≥ 16

This is not true. Therefore, this is not the inequality of the graph.

  • Let the inequality be x² ≥ 4 and x be 1.

x² ≥ 4

⇒ 1² ≥ 4

⇒ 1 ≥ 4

This is not true. Therefore, this is not the inequality of the graph.

Therefore, we have found that the graph given is the solution set of x² ≤ 16.

Learn more about inequalities here: https://brainly.com/question/24372553

#SPJ2

Otras preguntas