What is -w-2.5(4w+3)>= 5.25w-3.5-w ?

The solution to -w-2.5(4w+3)>= 5.25w-3.5-w is w<=-16/61

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-w-2.5(4w+3)>= 5.25w-3.5-w

- w - 2.5 (4 w + 3) \geq 5.25 w - 3.5 - w

w \leq - \frac{16}{61}

Interval Notation

(- \infty, - \frac{16}{61}]

Decimal Notation

w \leq - 0.26229 \dots

Solution steps

- w - 2.5 (4 w + 3) \geq 5.25 w - 3.5 - w

Add

w

to both sides

- w - 2.5 (4 w + 3) + w \geq 5.25 w - 3.5 - w + w

Simplify

- 2.5 (4 w + 3) \geq 5.25 w - 3.5

Multiply both sides by

100

- 250 (4 w + 3) \geq 525 w - 350

Expand

- 250 (4 w + 3) : - 1000 w - 750

- 1000 w - 750 \geq 525 w - 350

Move

750

to the right side

- 1000 w \geq 525 w + 400

Move

525 w

to the left side

- 1525 w \geq 400

Multiply both sides by

- 1

1525 w \leq - 400

Divide both sides by

1525

w \leq - \frac{16}{61}

(x - 2)^{2} - (3 - x)^{2} = 1

6 x + 7 = 3 x + 46

y, x y^{2} - x^{3} y = 6

8 v^{2} - 30 v + 18

\frac{- 8 x}{( x ^{2} - 4 ) ^{2}}

What is -w-2.5(4w+3)>= 5.25w-3.5-w ?
The solution to -w-2.5(4w+3)>= 5.25w-3.5-w is w<=-16/61