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Solve the following inequalities and draw a number line graph to represent each solution. Homework Help ✎

a. < 5

Solve the corresponding equations to determine the boundary points.

Solving yields .
Plot these points on a number line.

Test a point in each region on the number line in the original inequality. Highlight the region(s) where the test point makes the inequality true.

b. ≥ 5

See the steps in part (a).

The boundary points in part (b) are the same as the ones in part (a). When you test a value between the boundary points you get a false statement.

c. < 5

See the steps in part (a).

d. ≥ 5

e. < 5

f. ≥ 5

g. Describe any relationships you see among these six problems.

How are the graphs of the 'less than' inequalities related to the graphs of the 'greater than or equal to' inequalities?