Seudónimo Seudónimo
  • 02-12-2021
  • Mathematics
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HELPPPPPPPP ASAP
Graph the solution to this inequality on the number line.

1/3x−3<−1 5/6

HELPPPPPPPP ASAP Graph the solution to this inequality on the number line 13x3lt1 56 class=

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tkaykay2005
tkaykay2005 tkaykay2005
  • 03-12-2021

Answer:

x = [tex]x < \frac{7}{2}[/tex]

Step-by-step explanation:

convert the mixed numbers to an improper fraction:

[tex]\frac{1}{3} x - 3 < - 1 \frac{5}{6}[/tex]

multiply both sides of the inequality by 6:

[tex]2x - 18 < - 11[/tex]

move the constant to the right-hand side & change its sign:

[tex]2x < - 11 + 18[/tex]

calculate the sum:

[tex]2x < 7[/tex]

divide both sides of the inequality by 2:

[tex]x < \frac{7}{2}[/tex]

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