What is x-7.6(0.9x+1)<= 5.6(1+1.1x) ?

The solution to x-7.6(0.9x+1) =-1.1

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x-7.6(0.9x+1)<= 5.6(1+1.1x)

x - 7.6 (0.9 x + 1) \leq 5.6 (1 + 1.1 x)

x \geq - 1.1

Interval Notation

[- 1.1, \infty)

Solution steps

x - 7.6 (0.9 x + 1) \leq 5.6 (1 + 1.1 x)

Expand

- 7.6 (0.9 x + 1) : - 6.84 x - 7.6

x - 6.84 x - 7.6 \leq 5.6 (1 + 1.1 x)

Add similar elements:

x - 6.84 x = - 5.84 x

- 5.84 x - 7.6 \leq 5.6 (1 + 1.1 x)

Expand

5.6 (1 + 1.1 x) : 5.6 + 6.16 x

- 5.84 x - 7.6 \leq 5.6 + 6.16 x

Move

7.6

to the right side

- 5.84 x \leq 6.16 x + 13.2

Move

6.16 x

to the left side

- 12 x \leq 13.2

Multiply both sides by

- 1

12 x \geq - 13.2

Divide both sides by

12

x \geq - 1.1

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What is x-7.6(0.9x+1)<= 5.6(1+1.1x) ?
The solution to x-7.6(0.9x+1)<= 5.6(1+1.1x) is x>=-1.1