How do you solve <mstyle displaystyle="true"> m </mrow>

rjawbreakerca 2022-06-30 Answered
How do you solve m 3 - 3 < 4 3 - m 2 ?
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Answers (1)

pompatzz8
Answered 2022-07-01 Author has 11 answers
Step 1
You can get rid of the fractions straight away.
Multiply each term of the inequality by the LCD, which is 6.
This will allow you to cancel the denominators and thereby get rid of the fractions altogether.
6 × m 3 - 6 × 3 < 6 × 4 3 - 6 × m 2
6 2 × m 3 - 6 × 3 < 6 2 × 4 3 - 6 3 × m 2
2 m - 18 < 8 - 3 m rearrange the terms
2 m + 3 m < 8 + 18
5 m < 26
m < 26 5
This is the same as m < 5 1 5 or m < 5.2

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