What is -4(-0.8n+5.3)<= 4.4n-8(1-1.1n) ?

The solution to -4(-0.8n+5.3) =-1.32

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-4(-0.8n+5.3)<= 4.4n-8(1-1.1n)

- 4 (- 0.8 n + 5.3) \leq 4.4 n - 8 (1 - 1.1 n)

n \geq - 1.32

Interval Notation

[- 1.32, \infty)

Solution steps

- 4 (- 0.8 n + 5.3) \leq 4.4 n - 8 (1 - 1.1 n)

Expand

- 4 (- 0.8 n + 5.3) : 3.2 n - 21.2

Expand

4.4 n - 8 (1 - 1.1 n) : 13.2 n - 8

3.2 n - 21.2 \leq 13.2 n - 8

Move

21.2

to the right side

3.2 n \leq 13.2 n + 13.2

Move

13.2 n

to the left side

- 10 n \leq 13.2

Multiply both sides by

- 1

10 n \geq - 13.2

Divide both sides by

10

n \geq - 1.32

p^{2} - 6 - q \cdot (p^{2} - 6)^{2}

2 x \cdot (1 - x) = x - 6

6 x + 10 > 5 x - 12

6 x^{2} - 6 x - 36 = 0

What is -4(-0.8n+5.3)<= 4.4n-8(1-1.1n) ?
The solution to -4(-0.8n+5.3)<= 4.4n-8(1-1.1n) is n>=-1.32