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

rjawbreakerca

rjawbreakerca

Answered question

2022-06-30

How do you solve m 3 - 3 < 4 3 - m 2 ?

Answer & Explanation

pompatzz8

pompatzz8

Beginner2022-07-01Added 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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