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Find the value of a variable that, when substituted into an inequality, makes a true statement is a(n)鈥︹��.

The length of a rectangle is 5 feet less than twice its width. The perimeter of the rectangle is 38 feet. Let w represent the width. Write an equation for the perimeter of the rectangle in terms of w. Then solve the equation to find the length and width of the rectangle.

Write and solve an inequality for the following verbal sentence: Five plus 2 times a number is less than 20.

The table below shows the cost of renting a moving van for one day from two companies. The daily charge and the charge per mile shown below:

1. Calculate the miles that you have to drive before the cost of renting a van for one day from company A is less than the cost of renting a van for one day from company B. Express in inequality.
2. Draw the graph of the inequality.
3. Find which company is less expensive of you drive $100$ miles in one day. Explain.

Solve the inequality. Graph and check your solution.

$x+3<7$

Write an equality to represent the situation. 鈥淵ou must be at least$48$ inches tall to ride the roller coaster鈥�.

Solve the inequality. Graph your solution.

$x+75>-125$

Write an inequality represented by the graph.

Solve the equation. Check your solution.

$\mathbf{5}\mathbf{n}\mathbf{-}\mathbf{2}\mathbf{=}\mathbf{3}\mathbf{n}\mathbf{+}\mathbf{6}$

Explain why the equation 5z + 2 = 5z has no solution.