Answer:
[tex]-8\leq x < -2[/tex]. The graph is shown below.
Step-by-step explanation:
The inequality is given as:
[tex]-50\leq 7x+6<-8[/tex]
Add -6 throughout, we get
[tex]-50-6\leq x+6-6<-8-6\\-56\leq 7x<-14[/tex]
Now, we divide by 7, we get
[tex]-\frac{56}{7}\leq \frac{7x}{7}<-\frac{14}{7}\\-8\leq x<-2[/tex].
Therefore, the solution is [tex]-8\leq x < -2[/tex] 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.
