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Big Ideas Math Integrated I, 2016 View details

6. Graphing Linear Inequalities in Two Variables

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Exercise 17 Page 253

Substitute the given values into the inequality.

No

Practice makes perfect

To check whether the carpenter can buy twelve 2-by-8 boards and fourteen 4-by-4 boards, let's substitute x=12 and y=14 into the given inequality and check if it is satisfied.

8x+12y ≤ 250

SubstituteII

x= 12, y= 14

8( 12)+12( 14) ? ≤ 250

Multiply

96+168 ? ≤ 250

AddTerms

Add terms

264 ≰ 250 *

We got a contradiction! Therefore, the ordered pair (12,14) is not a solution of the inequality and the carpenter cannot buy this set of boards.