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Kevin is baking bread for a family function. The initial temperature of the oven is twice the room temperature. He knows that yeast, a key ingredient, thrives within the temperature range of [tex]$90^{\circ} F$[/tex] to [tex]$95^{\circ} F$[/tex]. To facilitate yeast growth, Kevin decreases the temperature of the oven by [tex]$44^{\circ} F$[/tex].

Which inequality represents the given situation?

A. [tex]$90 \leq 2x + 44 \leq 95$[/tex]
B. [tex]$90 \leq 2x - 44 \leq 95$[/tex]
C. [tex]$90 \geq 2x - 44 \leq 95$[/tex]
D. [tex]$90 \geq 2x + 44 \leq 95$[/tex]

Answer :

Let the room temperature be represented by [tex]$x$[/tex]. Then the initial oven temperature is given by

[tex]$$
2x.
$$[/tex]

Kevin decreases the oven temperature by [tex]$44^\circ F$[/tex], so the new temperature is

[tex]$$
2x - 44.
$$[/tex]

Since yeast thrives in the temperature range of [tex]$90^\circ F$[/tex] to [tex]$95^\circ F$[/tex], we have the inequality

[tex]$$
90 \leq 2x - 44 \leq 95.
$$[/tex]

Thus, the inequality that represents the given situation is

[tex]$$
90 \leq 2x - 44 \leq 95.
$$[/tex]

This corresponds to option B.

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