What is (m+3)+0.7>=-0.3(-m+1/4) ?

The solution to (m+3)+0.7>=-0.3(-m+1/4) is m>=-151/28

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(m+3)+0.7>=-0.3(-m+1/4)

(m + 3) + 0.7 \geq - 0.3 (- m + \frac{1}{4})

m \geq - \frac{151}{28}

Interval Notation

[- \frac{151}{28}, \infty)

Decimal Notation

m \geq - 5.39285 \dots

Solution steps

(m + 3) + 0.7 \geq - 0.3 (- m + \frac{1}{4})

Remove parentheses:

(a) = a

m + 3 + 0.7 \geq - 0.3 (- m + \frac{1}{4})

Add the numbers:

3 + 0.7 = 3.7

m + 3.7 \geq - 0.3 (- m + \frac{1}{4})

Multiply both sides by

10

10 m + 37 \geq - 3 (- m + \frac{1}{4})

Expand

- 3 (- m + \frac{1}{4}) : 3 m - \frac{3}{4}

10 m + 37 \geq 3 m - \frac{3}{4}

Move

37

to the right side

10 m \geq 3 m - \frac{151}{4}

Move

3 m

to the left side

7 m \geq - \frac{151}{4}

Divide both sides by

7

m \geq - \frac{151}{28}

16 x^{2} - 100

7 y^{2} + 19 y + 10

\frac{4 !}{3 !}

2 + 6 x + 9 \leq 0

x + 1 = 2 x + 1

What is (m+3)+0.7>=-0.3(-m+1/4) ?
The solution to (m+3)+0.7>=-0.3(-m+1/4) is m>=-151/28