To describe: the intersection of the half planes of the system shown.
Answer to Problem 32E
The system has no solution.
Explanation of Solution
Given information:
Given two inequalities
Calculation:
Rewrite the inequality 1 in slope intercept form as shown below
Subtract
Multiply by negative sign from both sides of equation and reverse the inequality sign as shown below.
The shaded region is the upper half of the solid boundary line
Rewrite the inequality 2 in slope intercept form as shown below.
Subtract from both sides of the equation.
Multiply by negative sign from both sides of equation and reverse the inequality sign as shown below.
Therefore, there is no common shaded region. Since, the lines are parallel and the half planes do not intersect.
Hence, the system has no solution.
Chapter 5 Solutions
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