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Chapter 5: Q. 279 (page 672)

In the following exercises, determine whether each ordered pair is a solution to the system.

7x+2y>145x-y鈮�8a.(2,3)b.(7,-1)

Short Answer

Expert verified

Part (a) The ordered pair is a solution to the set.

Part (b) The ordered pair is not a solution to the set.

Step by step solution

01

Part a. Step 1. Given Information

The given set is7x+2y>145x-y鈮�8and the ordered pair is(2,3).

02

Part a. Step 2. Substitute the values into the inequalities.   

  • Substitute x=2,y=3into the first given inequality.

7(2)+2(3)>?1414+6>?1420>14True

  • Substitute x=2,y=3into the second inequality.

role="math" localid="1648027853131" 5(2)-(3)鈮�?810-3鈮�?87鈮�8True

  • Since both of the inequalities are satisfied, the given ordered pair is a solution to the system.
03

Part b. Step 1, Given Information

The given set is 7x+2y>145x-y鈮�8and the ordered pair is(7,-1).

04

Part b. Step 2. Substitute the values into the inequalities  

  • Substitute x=7,y=-1into the first given inequality.

7(7)+2(-1)>?1449-2>?1447>14True

  • Substitute x=7,y=-1into the second given inequality.

5(7)-(-1)鈮�?835+1鈮�?836鈮�8False

  • Since the second inequality is not satisfied, the given ordered pair is not a solution to the system.

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