What is 8n+2(-8n+3)<= n+2+9n ?

The solution to 8n+2(-8n+3) = 2/9

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8n+2(-8n+3)<= n+2+9n

8 n + 2 (- 8 n + 3) \leq n + 2 + 9 n

n \geq \frac{2}{9}

Interval Notation

[\frac{2}{9}, \infty)

Decimal Notation

n \geq 0.22222 \dots

Solution steps

8 n + 2 (- 8 n + 3) \leq n + 2 + 9 n

Group like terms

8 n + 2 (- 8 n + 3) \leq n + 9 n + 2

Add similar elements:

n + 9 n = 10 n

8 n + 2 (- 8 n + 3) \leq 10 n + 2

Expand

2 (- 8 n + 3) : - 16 n + 6

8 n - 16 n + 6 \leq 10 n + 2

Add similar elements:

8 n - 16 n = - 8 n

- 8 n + 6 \leq 10 n + 2

Move

6

to the right side

- 8 n \leq 10 n - 4

Move

10 n

to the left side

- 18 n \leq - 4

Multiply both sides by

- 1

18 n \geq 4

Divide both sides by

18

n \geq \frac{2}{9}

3 - \frac{3}{2} y = - 2

∣ x + 10 ∣ \geq 4

6 \cdot 4 + \frac{4}{2} (- 3 \cdot 7)

z^{3} + 8

(\frac{a ^{3}}{a b ^{- 6}})^{\frac{1}{2}}