Question

Which represents the solution set of 5(x + 5)<85

Answer 1

Answer: The required statement that represents the solution set is x < 12.

Step-by-step explanation: We are given to find the statement that represents the solution set of the following linear inequality :

`5(x+5)<85~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

To find the solution set, we must solve the given inequality as follows :

`5(x+5)<85\\\\\Rightarrow x+5<(85)/(5)\\\\\Rightarrow x+5<17\\\\\Rightarrow x<17-5\\\\\Rightarrow x<12.`

Thus, the required statement that represents the solution set is x < 12.

Answer 2

The solution set to the inequality is x < 12

Explanation:

We have been given the inequality 5(x + 5)<85 and required to determine its solution set;

The first step would be to divide both sides of the inequality by 5;

x + 5 < 17

The next step we subtract 5 from both sides of the inequality;

x + 5 - 5 < 17 - 5

x < 12

Therefore, the solution set to the inequality is all real numbers strictly less than 12