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Chapter 5: Q. 5.102 (page 662)

Determine whether the ordered pair is a solution to the system.

y>4x-24x-y<20a.(2,1)b.(4,-1)

Short Answer

Expert verified

Part (a) The given ordered pair is not a solution to the system.

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

Step by step solution

01

Part  (a). Step 1. Given information 

The given system is y>4x-24x-y<20and the ordered pair is(2,1).

02

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

  • Substitute x=2,y=1into the first given inequality.

1>?4(2)-21>?8-21>6False

  • Substitute x=2,y=1into the second given inequality.

4(2)-1<?208-1<?207<20True

  • Since first inequality is not satisfied, the given ordered pair is not a solution to the system.
03

Part (b). Step1. Given Information

The given system is y>4x-24x-y<20and the ordered pair is(4,-1).

04

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

  • Substitute x=4,y=-1into the first given inequality

role="math" localid="1647848999348" -1>?4(4)-2-1>?16-2-1>14False

  • Substitute x=4,y=-1into the second given inequality.

role="math" localid="1647849111804" 4(4)-(-1)<?2016+1<?2017<20True

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

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