What is solvefor r,r+5(-2r-10)<=-4r-1+6r ?

The solution to solvefor r,r+5(-2r-10) =-49/11

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Solve the Inequality for r r+5(-2r-10)<=-4r-1+6r

solve for

r, r + 5 (- 2 r - 10) \leq - 4 r - 1 + 6 r

r \geq - \frac{49}{11}

Decimal

r = - 4.45454 \dots

Solution steps

r + 5 (- 2 r - 10) \leq - 4 r - 1 + 6 r

Group like terms

r + 5 (- 2 r - 10) \leq - 4 r + 6 r - 1

Add similar elements:

- 4 r + 6 r = 2 r

r + 5 (- 2 r - 10) \leq 2 r - 1

Expand

5 (- 2 r - 10) : - 10 r - 50

r - 10 r - 50 \leq 2 r - 1

Add similar elements:

r - 10 r = - 9 r

- 9 r - 50 \leq 2 r - 1

Move

50

to the right side

- 9 r \leq 2 r + 49

Move

2 r

to the left side

- 11 r \leq 49

Multiply both sides by

- 1

11 r \geq - 49

Divide both sides by

11

r \geq - \frac{49}{11}

Number Line

r \geq - \frac{49}{11}

10.25%

11.5%

2 x^{2} - x - 4 = 0

x, 14 = - (x - 8)

- \frac{14}{35}

What is solvefor r,r+5(-2r-10)<=-4r-1+6r ?
The solution to solvefor r,r+5(-2r-10)<=-4r-1+6r is r>=-49/11