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Chapter 9: Problem 94
Write a system of inequalities whose solution set includes every point in the rectangular coordinate system.
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Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to statems The graph of \(3 x-5 y<10\) consists of a dashed line and a shaded half-plane below the line.
Graphing utilities can be used to shade regions in the rectangular coordinate system, thereby graphing an inequality in two variables. Read the section of the user's mamual for your graphing utility that describes how to shade a region. Then use your graphing unility to graph the inequalities. $$y \leq 4 x+4$$
Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The absolute value of any linear expression is greater than 0 for all real numbers except the number for which the expression is equal to \(0 .\)
At the end of the day, the change machine at a laundrette contained at least \(\$ 3.20\) and at most \(\$ 5.45\) in nickels, dimes, and quarters. There were 3 fewer dimes than twice the number of nickels and 2 more quarters than twice the number of nickels. What was the least possible number and the greatest possible number of nickels?
Without graphing, in Exercises \(55-58,\) determine if each system has no solution or infinitely many solutions. $$\left\\{\begin{array}{l} 3 x+y<9 \\ 3 x+y>9 \end{array}\right.$$
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