What is 10m+5(4m+8)>= 7m-6-2m ?

The solution to 10m+5(4m+8)>= 7m-6-2m is m>=-46/25

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10m+5(4m+8)>= 7m-6-2m

10 m + 5 (4 m + 8) \geq 7 m - 6 - 2 m

m \geq - \frac{46}{25}

Interval Notation

[- \frac{46}{25}, \infty)

Decimal Notation

m \geq - 1.84

Solution steps

10 m + 5 (4 m + 8) \geq 7 m - 6 - 2 m

Group like terms

10 m + 5 (4 m + 8) \geq 7 m - 2 m - 6

Add similar elements:

7 m - 2 m = 5 m

10 m + 5 (4 m + 8) \geq 5 m - 6

Expand

5 (4 m + 8) : 20 m + 40

10 m + 20 m + 40 \geq 5 m - 6

Add similar elements:

10 m + 20 m = 30 m

30 m + 40 \geq 5 m - 6

Move

40

to the right side

30 m \geq 5 m - 46

Move

5 m

to the left side

25 m \geq - 46

Divide both sides by

25

m \geq - \frac{46}{25}

- 2 x^{2} - 4 x + 70

\frac{2 + 3}{2} + \frac{1}{3}

\frac{4}{3} - 2 (x - \frac{7}{2}) = 11 - x

y^{2} - 6 y + 9 = 0

k^{2} - 8 k = 0

What is 10m+5(4m+8)>= 7m-6-2m ?
The solution to 10m+5(4m+8)>= 7m-6-2m is m>=-46/25