Question

Brandon is shopping at Old Navy during a sale. All shorts are $16 each and all tshirts are $10 each. He has $100 to spend and would like to purchase 2 pairs of shorts.
What is the linear inequality?

Answer 1

The linear inequality is

16S + 10T ≤ 100

T = Number of t-shirts

S = Number of shorts

For 2 shorts,

32 + 19T ≤ 100.

What is inequality?

It shows a relationship between two numbers or two expressions.

There are commonly used four inequalities:

Less than = <

Greater than = >

Less than and equal =

Greater than and equal=

We have,

Cost of shorts = $16

Cost of t-shirts = $10

Total amount to spend = $100

Number of shorts to purchase = S

Number of t-shirts to purchase = T

The linear inequality is given as:

16S + 10T ≤ 100

Since S = 2,

16 x 2 + 10T ≤ 100

32 + 10T ≤ 100

10T ≤ 100 - 32

1OT ≤ 68

T ≤ 6.8

This means he can buy 6 or less than 6 t-shirts.

Thus,

The linear inequality is

16S + 10T ≤ 100

T = Number of t-shirts

S = Number of shorts

For 2 shorts,

32 + 19T ≤ 100.

Learn more about inequalities here:

brainly.com/question/20383699

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