Alexa has at most $60 to spend on the clothes. She wants to buy a pair of jeans for $22 and spend the rest on t shirts. Each t shirt cost $8. Write an inequality that could be used to find x, the number of t shirts Alexa can buy.

22 + 8x ≤ 60

Step-by-step explanation: She has to spend 22 dollars on jeans, so $22 will be added to the initial amount. The x will be the number of t-shirts and then the cost of x t-shirts will be 8x. Putting this into inequality form will result in 22 + 8x ≤ 60

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is