# Operations statistics

1. Determine which of the following is a linear equation and which is not a linear equation. State the reason for your answer.(a) 2x 3y 2z = 10(b) 4xy 5yz xz = 220(c) 2y 4z = 75 (d) x2 y2 z2 = 602. Determine which of the following is a linear inequality and which is not a linear inequality. State the reason for your answer.(a) 4×3 2y2 3z4 < 10(a) 5x 6y > 30(c) 2xy 3yz ? 4xz > 20(d) x 3y ? 4z < 153. Find the slope, the y-intercept, and the x-intercept of the linear equation 5x - 3y = 30.4. Find the solution set for the linear inequality 4x y < 24.5. Solve the following system of equations using the method of elimination. 3x 2y = 100 2x y = 606. Solve the following system of equations using the method of substitution. 3x 2y = 100 2x y = 607. Find the feasible region for the following system of inequalities. x y > 4 3x 4y < 24Note: Some of the questions above require drawing graphs. Here is a list of options for you to include a graph in your answer.Draw the graph using MS Paint or CorelDraw or some other software. Copy the graph in a MS Word file and post the file on the course website in appropriate category. ORDraw the graph by hand on a paper, scan it or take a photo and post it with your answer. ORDraw the graph by hand on a paper and describe the graph in words in your answer.

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