Question

the difference between the high and low temperatures on sunday was atleast 35°f. the low temperature on sunday was —8°f. Write and solve an inequality to find t the high temperature on sunday

Answer 1

We define the notation:

• T_H = high temperature,

,

• T_L = low temperature.

From the statement of the problem, we know that:

• the difference between the temperatures was at least 35°F:

$\Delta T=T_H-T_L\ge35^{\circ}F,$

• the low temperature was:

$T_L=-8^{\circ}F\text{.}$

Replacing the value of the low temperature in the inequality above, we find that:

$\begin{gathered} T_H-(-8^{\circ}F)\ge35^{\circ}F, \\ T_H+8^{\circ}F\ge35^{\circ}F, \\ T_H\ge35^{\circ}F-8^{\circ}F, \\ T_H\ge27^{\circ}F\text{.} \end{gathered}$

Answer

We find that the high temperature was at least 27°F:

$T_H\ge27^{\circ}F\text{.}$