Convert the given i-system to an e-system using slack variables. Then construct a table of all basic solutions of the e-system. For each basic solution, indicate whether or not it is feasible. 2x₁ + 9x₂ < 36 X₁ + 4x₂ ≤ 17 x₁, x2 20 Write the associated linear equation for the inequality 2x, +9x₂ $36. Use s, as the slack variable. 0 (Type an equation. Do not factor)

Graph the system of inequalities. Rewrite each inequality into y=mx+b form 4x+ 3y>-6 x- 3y -6 X- 3y <-9

Casey works at the Sports Gym as a counselor for x hours a week after school a job that pays $3 an hour . She has accepted a job that pays $9 an hour at Carvel working y hours per week. She will work both jobs. She is able to work no more than 17 hours per week . Casey wants to earn at least $72a. Write a system of linear inequalities that can be used to find the possible combinations of hours working at the Sports Gym and at Carvel so Casey earns at least $72.

Determine graphically the solution set for the system of inequalities. x  +  y  ≤  5 0  ≤  x ≤ 2     y ≥ 0