in order to qualify for a role in a play, an actor must be taller than 64 inches but shorter than 68 inches…

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 is another way of writing the inequality?\n○ x > 64 and x < 68\n○ x > 64 or x < 68\n○ x < 64 and x < 68\n○ x < 64 or x < 68

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 is another way of writing the inequality?\n○ x > 64 and x < 68\n○ x > 64 or x < 68\n○ x < 64 and x < 68\n○ x < 64 or x < 68

Answer

Explanation:

Step1: Understand compound - inequality

The inequality $64 < x < 68$ means that $x$ is greater than 64 and at the same time $x$ is less than 68.

Step2: Match with options

The compound - inequality $x>64$ and $x < 68$ is equivalent to $64 < x < 68$.

Answer:

$x>64$ and $x < 68$