Question

Use a number line to show numbers in the solution set of the inequality 2s+36>50

Answer 1

`s>7`. The number line is shown below.

Explanation:

Given:

The inequality to solve is given as:

`2s+36>50`

In order to solve this, we need to isolate 's' on the left side of the inequality sign.

Adding -36 on both the sides, we get:

`2s+36-36>50-36\\\\2s>14`

Now, 2 is multiplied to 's'. So, dividing both sides by 2, we get:

`(2s)/(2)>(14)/(2)\\\\s>7`

So, the variable 's' includes all values that are greater than 7.

The number line representing the above inequality is shown below.

There is a hollow circle at the mark '7' as 7 is not included in the solution for 's'.