Tavon has a gift card for $95 that loses $2 for each 30-day period it is not used. He has another gift card for $75 that loses $1.50 for each 30-day period it is not used. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal.

the number of 30-day periods until the value of the gift cards will be equal is 40

Step-by-step explanation:

Let

x = each 30-day period

Tavon has a gift card for $95 that loses $2 for each 30-day period it is not used.

95 - 2x

He has another gift card for $75 that loses $1.50 for each 30-day period it is not used

75 - 1.50x

Equate both expression for the number of 30-day periods until the value of the gift cards will be equal.

95 - 2x = 75 - 1.50x

95 - 75 = -1.50x + 2x

20 = 0.50x

x = 20/0.50

= 40

x = 40

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

32

step-by-step explanation: