Question

which inequality represents the statement?
the low temperature (t) was 8°c and the high temperature was 16°c
$8^\circ\text{c} \leq t \leq 16^\circ\text{c}$
$8^\circ\text{c} > t < 16^\circ\text{c}$
$8^\circ\text{c} < t < 16^\circ\text{c}$
$8^\circ\text{c} \geq t \leq 16^\circ\text{c}$

Explanation:

Step1: Analyze temperature bounds

The low temp is $8^\circ\text{C}$, so $T$ is at least $8^\circ\text{C}$: $T \geq 8^\circ\text{C}$ or $8^\circ\text{C} \leq T$.

Step2: Analyze upper temperature bound

The high temp is $16^\circ\text{C}$, so $T$ is at most $16^\circ\text{C}$: $T \leq 16^\circ\text{C}$.

Step3: Combine inequalities

Merge the two bounds into a single compound inequality.
$8^\circ\text{C} \leq T \leq 16^\circ\text{C}$

Answer:

$8^\circ\text{C} \leq T \leq 16^\circ\text{C}$ (first option)