What is |(m+3m)/3 |-1<= 2 ?

The solution to |(m+3m)/3 |-1<= 2 is -9/4 <= m<= 9/4

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|(m+3m)/3 |-1<= 2

\frac{m + 3 m}{3} - 1 \leq 2

- \frac{9}{4} \leq m \leq \frac{9}{4}

Interval Notation

[- \frac{9}{4}, \frac{9}{4}]

Decimal Notation

- 2.25 \leq m \leq 2.25

Solution steps

\frac{m + 3 m}{3} - 1 \leq 2

Move

1

to the right side

\frac{m + 3 m}{3} \leq 3

Apply absolute rule: If

∣ u ∣ \leq a, a > 0

then

- a \leq u \leq a

- 3 \leq \frac{m + 3 m}{3} \leq 3

\frac{m + 3 m}{3} \geq - 3 and \frac{m + 3 m}{3} \leq 3

m \geq - \frac{9}{4} and m \leq \frac{9}{4}

Merge Overlapping Intervals

- \frac{9}{4} \leq m \leq \frac{9}{4}

x^{2} - 8 x = 13

\frac{( 3 + i ) ^{10}}{1 + i}

\frac{5 !}{4 ! 1 !}

\frac{1}{12} + \frac{2}{9}

x^{2} > 4 (x + 8)

What is |(m+3m)/3 |-1<= 2 ?
The solution to |(m+3m)/3 |-1<= 2 is -9/4 <= m<= 9/4