Chapter 2

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The inequality \(-4 x<-20\) is equivalent to \(x>-5\).

Determine whether each statement is true or false. If the statement is false, make the necessary change(s) to produce a true statement. The statement "the sum of \(x\) and \(6 \%\) of \(x\) is at least \(80 "\) is modeled by \(x+0.06 x \geq 80\).

A car can be rented from Basic Rental for \(\$ 260\) per week with no extra charge for mileage. Continental charges \(\$ 80\) per week plus 25 cents for each mile driven to rent the same car. How many miles should be driven in a week to make the rental cost for Basic Rental a better deal than Continental's?

Membership in a fitness club costs \(\$ 500\) yearly plus \(\$ 1\) per hour spent working out. A competing club charges \(\$ 440\) yearly plus \(\$ 1.75\) per hour for use of their equipment. How many hours must a person work out yearly to make membership in the first club cheaper than membership in the second club?

Solve each inequality. Use a calculator to help with the arithmetic. $$1.45-7.23 x>-1.442$$

Solve each inequality. Use a calculator to help with the arithmetic. $$126.8-9.4 y \leq 4.8 y+34.5$$

8 is \(40 \%\) of what number?

The length of a rectangle exceeds the width by 5 inches. The perimeter is 34 inches. What are the rectangle's dimensions?

Solve and check: \(5 x+16=3(x+8)\)

Is \(x-4 y=14\) a true statement for \(x=2\) and \(y=-3 ?\)

Is \(x-4 y=14\) a true statement for \(x=12\) and \(y=1 ?\)

If \(y=\frac{2}{3} x+1,\) find the value of \(y\) for \(x=-6\).