Chapter 2: Q12. (page 95)

SHOPPING For Exercise 10-12, use the following information.
Gwen wants to buy some cassettes that cost $$10$ each and some CDs that $$ 13$ cost each. She has $$ 40$ to spend.
12. Can she buy $3$ cassettes and $2$ CDs? Explain.

Short Answer

Expert verified

No, Gwen cannot buy $3$ cassettes and $2$ CDs.

Step by step solution

Step-1 –Concept of inequality

An inequality is a relation, which makes a non-equal comparison between two numbers or other mathematical expression. It is used most often to compare two numbers on the number line by the size

Step-2 –Check the inequality

Let use substitute $c = 3, d = 2$ in $10 c + 13 d \leq 40$

$\begin{array}{l} 10 (3) + 13 (2) \leq 40 \\ 30 + 26 \leq 40 \\ 56 \leq 40 \end{array}$

Which is not satisfied.

Step-3 –Write the conclusion

Hence, Gwen cannot buy $3$ cassettes and $2$ CDs. Since, if she has $$ 40$ and the cost of it is $56$ .

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SHOPPING For Exercise 10-12, use the following information.
Gwen wants to buy some cassettes that cost $\(10$ each and some CDs that $\) 13$ cost each. She has $$ 40$ to spend.
12. Can she buy $3$ cassettes and $2$ CDs? Explain.

Short Answer

Step by step solution

Step-1 –Concept of inequality

Step-2 –Check the inequality

Step-3 –Write the conclusion

One App. One Place for Learning.

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SHOPPING For Exercise 10-12, use the following information.Gwen wants to buy some cassettes that cost \(10each and some CDs that \)13cost each. She has $40to spend.12. Can she buy3cassettes and 2CDs? Explain.

Short Answer

Step by step solution

Step-1 –Concept of inequality

Step-2 –Check the inequality

Step-3 –Write the conclusion

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Probability and Statistics

Statistics

Theoretical and Mathematical Physics

Mechanics Maths

Geometry

Logic and Functions

Study anywhere. Anytime. Across all devices.

SHOPPING For Exercise 10-12, use the following information.
Gwen wants to buy some cassettes that cost $\(10$ each and some CDs that $\) 13$ cost each. She has $$ 40$ to spend.
12. Can she buy $3$ cassettes and $2$ CDs? Explain.