Exercise 1 Page 253

How would we test whether or not an ordered pair is a solution to a linear equation?

See solution.

Practice makes perfect

If we have a linear inequality and want to know if a specific ordered pair is a solution, we can test it just like we would with a linear equation. We substitute the point into the inequality for the appropriate variables and see if the statement remains true after we simplify it. Consider the following linear inequality. y>x+1 We want to know if the points (3,5) and (1,1) are solutions. We can substitute the points into the inequality for x and y and check the results. Let's test the first point.

y>x+1

SubstituteII

x= 3, y= 5

5? > 3+1

AddTerms

Add terms

5>4 ✓

Because 5 is greater than 4, we know that the point (3,5) is a solution to the inequality. Now let's test the second point.

y>x+1

SubstituteII

x= 1, y= 1

1? > 1+1