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The hard drive on your computer has a capacity of 160 gigabytes (GB). You have used 122 GB. You want to save some home videos to your hard drive. What are the possible sizes of the home video collection you can save? If u represents the amount of space used, write an inequality that determines a, the amount of space available.

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Capacity of the hard drive = 160 GB.

Used space = 122 GB.

Free space = 160 - 122 = 38 GB.

So, the size of the home video collection should be less than or equal to 38 GB.

If u is the amount of space used, then, u ≤ 38

If a is the amount of space available, then a = 38 - u.

Answer: a) [tex]u\leq 38[/tex] , b) a=38- u.

Step-by-step explanation:

Since we have given that

Capacity of the hard ware on computer = 160 GB

Amount he used = 122 GB

Amount he saved is given by

[tex]160-122=38\ GB[/tex]

Let the amount of space used be 'u'.

So, Linear inequality would be

[tex]u\leq 38[/tex]

Let the amount of space available be 'a'.

So, a is given by

[tex]a+u=38\\\\a=38-u[/tex]

Hence, a) [tex]u\leq 38[/tex] , b) a=38-u.

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