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Karo-lina-s [1.5K]
4 years ago
7

Which is less -.72or -5/12

Mathematics
2 answers:
ira [324]4 years ago
4 0

-.72 is less than -5/12 (-5/12 is -.42 which is closer to 0 so its a larger number)

Tema [17]4 years ago
3 0
-7.2 is less because -5/12 as a decimal is -0.42 and since they’re both negative numbers the larger the number the is the less value it has if that makes sense
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Answer:

  • a) (0,0), (-4, 1), (-1,2)
  • b) None

Step-by-step explanation:

  • <em>There are two ways of solving similar problems. One- substitute x and y with respective coordinates and verify if the inequalities are correct. Two- graph the lines and see if the points are in the intersection zones.</em>
  • <em>We'll go with the first method. </em>
  • <em>Remember both inequalities should be correct for the same point to accept it as a solution.</em>

<u>Given points </u>

  • (0,0), (-4,1), (-1,2)
<h3>a) <u>The system of inequalities</u></h3>
  • y > x - 1
  • y < -1/2x + 2

<u>Point (0,0)</u>

  • 0 > 0 - 1 = -1 correct
  • 0 < -1/2(0) + 2 = 2 - correct
  • Yes

<u>Point (-4,1)</u>

  • 1 > -4 - 1 = -5 - correct
  • 1 < -1/2(-4) + 2 = 4 - correct
  • Yes

<u>Point (-1,2)</u>

  • 2 > -1 - 1= -2 - correct
  • 2 < -1/2(-1) + 2 = 2.5 - correct
  • Yes
<h3>b) <u>The system of inequalities</u></h3>
  • x - 2y ≥ 4
  • 2x - y ≥ -1

<u>Point (0, 0)</u>

  • 0 - 2(0) = 0 ≥ 4 - incorrect
  • 2(0) - 0 = 0  ≥ -1 - correct
  • No

<u>Point (-4, 1)</u>

  • -4 - 2(1) = - 6 ≥ 4 - incorrect
  • 2(-4) - 1 = - 9 ≥ -1  - correct
  • No

<u>Point (-1,2)</u>

  • -1 - 2(2) = -5  ≥ 4 - incorrect
  • 2(-1) - 2 = - 4 ≥ -1  - correct
  • No
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