Algebra 1 3-1 Guided Practice: Inequalities and Their Graphs

Solve It! By law, the height of a newly constructed building in Washington D.C., can be no greater than the width of the adjacent street, plus 20 ft. Pennsylvania Avenue, shown here, is the widest street in Washington D.C. What is the maximum allowable height of a new building?

Problem 1 Got It?

Problem 1 Got It?

Problem 2 Got It? Reasoning:

In Problem 2, how is the solution of the related equation 2x + 1 = -3 related to the solutions of the inequality 2x + 1 > -3?

Problem 3 Got It? Match the graphs with their inequalities.

Problem 4 Got It?

Problem 4 Got It?

Problem 5 Got It? For the inequality, can the speed be all real numbers less than or equal to 8? Explain.