Exercise 1 Page 397

To find out if the point (- 1,4) satisfies the inequality, we need to substitute it into the inequality and simplify. If the resulting statement is true, the given point is contained in the solution set of the inequality.

y<2x+5

SubstituteII

x= - 1, y= 4

4 ? <2( - 1)+5

▼

a(- b)=- a * b

MultPosNeg

a(- b)=- a * b

4? <- 2* 1+5

MultByOne

a * 1=a

4? <- 2+5

AddTerms

Add terms

4≮ 3

Because 4 is not less than 3, this statement is not true. Therefore, (- 1,4) is not a solution.