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Question
orlando is a popular tourist location in florida. the highest temperature ever recorded there was 101°f. the lowest temperature recorded there was 19°f. write two inequalities that would describe the temperature, in °f, in orlando at any time since temperatures have been recorded.
write the high temperature inequality.
t ≤ 101
write the low temperature inequality.
t △ □
Step1: Define the variable
Let \( t \) represent the temperature in Orlando (in \( ^\circ\text{F} \)).
Step2: High temperature inequality
The highest temperature ever recorded is \( 101^\circ\text{F} \), so the temperature \( t \) can be at most \( 101^\circ\text{F} \). This gives the inequality \( t \leq 101 \).
Step3: Low temperature inequality
The lowest temperature ever recorded is \( 19^\circ\text{F} \), so the temperature \( t \) can be at least \( 19^\circ\text{F} \). This gives the inequality \( t \geq 19 \).
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High temperature inequality: \( t \leq 101 \)
Low temperature inequality: \( t \geq 19 \)