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SpyIntel [72]
3 years ago
5

Explain how the following inequality can be used to find the number of toys you can afford to buy. 150≤ 11x + 10 ≤ 450

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

The maximum number of toys you can afford to buy is 40

Step-by-step explanation:

Let

x -----> the number of toys

we have the compound inequality

150\leq 11x+10\leq 450

Divide into two inequalities

150\leq 11x+10 -----> inequality A

11x+10\leq 450 ----> inequality B

<em>Solve the inequality A</em>

150-10\leq 11x

140\leq 11x

Divide by 11 both sides

12.7\leq x

Rewrite

x\geq 12.7

<em>Solve the inequality B</em>

11x\leq 450-10

11x\leq 440

Divide by 11 both sides

x\leq 40

The solution for x is the interval  ----> [13,40}

Remember that the number of toys must be a whole number

The domain is all whole numbers greater than or equal to 13 toys and less than or equal to 40 toys

therefore

The maximum number of toys you can afford to buy is 40

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