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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

User AmmoPT
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2 Answers

4 votes

Answer: x > 64 and x < 68

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 .

User Timrwood
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3 votes

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


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]

User Seddonym
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