myabreaux101 myabreaux101
  • 21-06-2022
  • Mathematics
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solve the following inequality:
ALGEBRA 1

solve the following inequality ALGEBRA 1 class=

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xxhawwaxx
xxhawwaxx xxhawwaxx
  • 21-06-2022

Answer:

[tex]m \leqslant 10 \: or \: m > 4[/tex]

Step-by-step explanation:

[tex] \frac{m - 2}{3} \leqslant - 4 \\ \frac{m - 2}{3} \times 3 \leqslant - 4 \times 3 \\ m - 2 \leqslant - 12 \\ m - 2 + 2 \leqslant - 12 + 2 \\ m \leqslant 10[/tex]

OR

[tex]3m - 8 > 4 \\ 3m - 8 + 8 > 4 + 8 \\ 3m > 12 \\ \frac{3m}{3} > \frac{12}{3} \\ m > 4 [/tex]

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