Question

In order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches. The inequality 64 < x < 68, where x represents height, can be used to represent the height range Which of the following is another way of rewriting inequality?
x > 64 and x < 68 .
x > 64 or x < 68 .
x < 64 and x < 68 .
x < 64 or x < 68

Answer 1

Answer: x > 64 and x < 68 is another way of rewriting inequality.

Step-by-step explanation:

To qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches.

⇒The inequality 64 < x < 68, where x represents height,gives the range of height.

⇒In other words range of height can be x > 64 and x < 68 , such that both conditions are applied to single actor.

[with the use of or it will appear to give priority by actor to follow any 1 conditon]

Answer 2

Answer: x > 64 and x < 68

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

• 64 < x < 68 is the inequality

• x represents the height

This is a compound inequality where the intersection of the inequalities is the solution.

These types of inequalities are joined with the word "and ".

In this case 64 < x is equal to x> 64.

So the option that has the same inequalities joined with the word "and” is option a. x > 64 and x < 68 .