EllieA220894 EllieA220894
  • 30-10-2022
  • Mathematics
contestada

using the digits -9 to 9, without repeating any numbers, place a digit in each box to create an inequality that has a solution of x > 2.

using the digits 9 to 9 without repeating any numbers place a digit in each box to create an inequality that has a solution of x gt 2 class=

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DakarriJ251923 DakarriJ251923
  • 30-10-2022

Start finding 2 numbers that have a difference of 2

[tex]9-7=2[/tex]

since the solution has a sign contrary to the original sign, we need to make this difference negative then

[tex]7-9=-2[/tex]

in order to have this on the right side of the inequality, we use 9 as a positive integer

[tex]?x+9<7[/tex]

then, we make the x negative also in order to switch the sign of the inequality

[tex]\begin{gathered} -x+9<7 \\ -x<7-9 \\ -x<-2 \\ x>2 \end{gathered}[/tex]

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