Respuesta :

manuelperezpinp1dgij
There are many solutions. Choose any 'x', and then choose 'y' which is greater than 7 and greater than the double of 'x'.

When writing the ordered pair, remember that 'x' comes first.

Some examples: (0,8), (1,10), (-3,9), etc.

You can interpret this graphically. The points that solve 'y>2x' are those above the line 'y=2x', and the solutions to 'y>7' are those above the line 'y=7' (which is an horizontal line). Hence the solution to the system of inequalities is the intersection of those two regions. Have a look at the illustration:

Ver imagen manuelperezpinp1dgij

Solving the inequality, it is found that the ordered pair (1,9), given by option a, is a solution to the inequality.

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Option a:

  • The ordered pair is (1,9).
  • [tex]x = 1, 2x = 2(1) = 2, y = 9 > 2[/tex], and thus, the first condition is respected.
  • [tex]y = 9 > 7[/tex], and thus, the second condition is respected.
  • Since both conditions are respected, the ordered pair (1,9) is a solution to the inequality.

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Option b:

  • The ordered pair is (4,8).
  • [tex]x = 4, y = 2x = 2(4) = 8 = 8[/tex], it is not more than 2x, and thus, the first condition is not respected.

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Option c:

  • The ordered pair is (3,7)
  • y is equals to 7, not more, and thus, the second condition is not respected.

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Option d:

  • The ordered pair is (0,0).
  • y is less than 7, and thus, the second condition is not respected.

A similar problem is given at https://brainly.com/question/14950954

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