Three sisters combine their money to purchase a gift for their grandmother. They currently have a total of $26. The gift costs between $30 and $35. The gift cost can be represented by the compound inequality below.

30 < 26 + x< 35

What is one value for x, the amount of money still needed to buy the gift?

4
5
9
10



Answer :

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Step-by-step explanation: 1To find the range of values for

x, we need to solve the compound inequality

30

<

26

+

<

35

30<26+x<35

2Subtract

26

26 from all parts of the inequality to isolate

x:

30

26

<

26

+

26

<

35

26

30−26<26+x−26<35−26

4

<

<

9

4<x<9

3The value

x must be greater than

4

4 and less than

9

9

4The options given are

4

4,

5

5,

9

9, and

10

10. The only value that fits within the range

4

<

<

9

4<x<9 is

5

5

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