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. 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

6 and -2x + y < -4.">

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

4 and 2x - y > -5 displayed in a mathematical format.">

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. y≥x²−1, x−y≥−1

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x²+y²≤16, x+y>2

6.">

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x²+y²>1, x²+y²<16

9 and x^2 + y^2 < 25 displayed in a mathematical format.">

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. x²+y²≤1, y−x²>0

-4.">

In Exercises 27–62, graph the solution set of each system of inequalities or indicate that the system has no solution. x²+y²<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. 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.

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 no more than 2. The y-variabe is no less than the difference between the square of the x-variable and 4.