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makvit [3.9K]
3 years ago
11

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

Mathematics
1 answer:
vredina [299]3 years ago
6 0

Answer:

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

Step-by-step explanation:

The inequality is given as:

-50\leq 7x+6

Add -6 throughout, we get

-50-6\leq x+6-6

Now, we divide by 7, we get

-\frac{56}{7}\leq \frac{7x}{7}.

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.

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