Question

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

Answer 1

Answer:

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

Step-by-step 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

$-\frac{56}{7}\leq \frac{7x}{7}<-\frac{14}{7}\\-8\leq x<-2$.

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.