Question

Solve the inequality and graph the solution set on a number line.
​ −50≤7x+6<−8

Answer 1

`-8\leq x < -2`. The graph is shown below.

Explanation:

The inequality is given as:

`-50\leq 7x+6<-8`

Add -6 throughout, we get

`-50-6\leq x+6-6<-8-6\\-56\leq 7x<-14`

Now, we divide by 7, we get

`-(56)/(7)\leq (7x)/(7)<-(14)/(7)\\-8\leq x<-2`.

Therefore, the solution is
`-8\leq x < -2` which is also shown on the number line. A hollow circle is drawn at -2 to show that -2 is not included in the solution.