7. Systems of Equations & Matrices

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. −2≤x<5

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x−y≤1, x≥2

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x+y>4, x+y<−1

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x+y>4, x+y>−1

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. y≥x^2−1, x−y≥−1

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x^2+y^2≤16, x+y>2

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x^2+y^2>1, x^2+y^2<16

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. (x−1)^2+(y+1)^2<25, (x−1)^2+(y+1)^2≥16

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x^2+y^2≤1, y−x^2>0

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x^2+y^2<16, y≥2^x

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x−y≤2, x>−2, y≤3

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. 3x+y≤6, 2x−y≤−1, x>−2, y<4

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x≥0, y≥0, 2x+ 5y< 10, 3x + 4y ≤ 12

In Exercises 63–64, write each sentence as an inequality in two variables. Then graph the inequality. The y-variable is at least 4 more than the product of -2 and the x-variable.

In Exercises 65–68, write the given sentences as a system of inequalities in two variables. Then graph the system. The sum of the x-variable and the y-variable is at most 4. The y-variable added to the product of 3 and the x-variable does not exceed 6.