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3 years ago

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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<u><em>Explanation</em></u>

On Monday, the bank account balance was -$12.58

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3 years ago

GIVING BRAINLIEST Write a proportion that could be used to solve for each variable. Then solve. 16 walls in 40 hours 3 walls in

soldi70 [24.7K]

The proportion that could be used to solve for the variable is $\frac{16}{40}=\frac{3}{h}$ ; h = 7.5 ⇒ answer b

Step-by-step explanation:

A proportional relationship: one variable is always a constant value times the other, that constant is called the constant of proportionality

y = k x is the equation of the proportional relationship
We can write the proportional relationship in the form $\frac{y_{1}}{x_{1}}=\frac{y_{2}}{x_{2}}=k$

The number of walls and the number of hours are increased or decreased together

∴ The number of walls and the number of hours are proportion

∵ 16 walls in 40 hours

∵ 3 walls in h hours

- By using the second rule above

∴ $\frac{16}{40}=\frac{3}{h}$

The proportion that could be used to solve for the variable is $\frac{16}{40}=\frac{3}{h}$

Let us solve it to find h

∵ $\frac{16}{40}=\frac{3}{h}$

- By using cross multiplication

∴ 16 × h = 3 × 40

∴ 16 h = 120

- Divide both sides by 16

∴ h = 7.5

The value of h is 7.5 hours

Learn more:

You can learn more about the proportion in brainly.com/question/10708697

#LearnwithBrainly

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3 years ago

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

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