What is 5m-(3m+11)>6(m+5)-(-3m) ?

The solution to 5m-(3m+11)>6(m+5)-(-3m) is m<-41/7

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5m-(3m+11)>6(m+5)-(-3m)

5 m - (3 m + 11) > 6 (m + 5) - (- 3 m)

m < - \frac{41}{7}

Interval Notation

(- \infty, - \frac{41}{7})

Decimal Notation

m < - 5.85714 \dots

Solution steps

5 m - (3 m + 11) > 6 (m + 5) - (- 3 m)

Apply rule

- (- a) = a

5 m - (3 m + 11) > 6 (m + 5) + 3 m

Expand

5 m - (3 m + 11) : 2 m - 11

Expand

6 (m + 5) + 3 m : 9 m + 30

2 m - 11 > 9 m + 30

Move

11

to the right side

2 m > 9 m + 41

Move

9 m

to the left side

- 7 m > 41

Multiply both sides by

- 1

7 m < - 41

Divide both sides by

7

m < - \frac{41}{7}

(\frac{1}{2})^{10}

3 (- 2 x + 4) - 4 x - 2 = 20

10000 \cdot \frac{907185}{2000}

- 5 \cdot 3

\frac{4 m ^{2} - 14 m + 12}{12 m ^{2} - 27}

What is 5m-(3m+11)>6(m+5)-(-3m) ?
The solution to 5m-(3m+11)>6(m+5)-(-3m) is m<-41/7