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{.}`