joyrdshawn joyrdshawn
  • 02-08-2017
  • Mathematics
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Find all real numbers X such that 6x-21<=-3 AND 14x+11>=-17

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Sxerks Sxerks
  • 02-08-2017
[tex]6x - 21 \leq -3[/tex]
[tex]14x + 11 \geq -17[/tex]

D: All real x.

[tex]\text{From the first equation:}[/tex]
[tex]6x \leq 18[/tex]
[tex]x \leq 3[/tex]

New domain: x is less than or equal to 3.

[tex]\text{From the second equation:}[/tex]
[tex]14x \geq -28[/tex]
[tex]x \geq -2[/tex]

Thus, there is a restriction:
[tex]D: -2 \leq x \leq 3[/tex]
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