What is -1<=-1/2 x-(7x-1)-5 ?

The solution to -1<=-1/2 x-(7x-1)-5 is x<=-2/5

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-1<=-1/2 x-(7x-1)-5

- 1 \leq - \frac{1}{2} x - (7 x - 1) - 5

x \leq - \frac{2}{5}

Solution steps

- 1 \leq - \frac{1}{2} x - (7 x - 1) - 5

Switch sides

- \frac{1}{2} x - (7 x - 1) - 5 \geq - 1

Move

5

to the right side

- \frac{1}{2} x - (7 x - 1) \geq 4

Multiply both sides by

2

- x - 2 (7 x - 1) \geq 8

Expand

- 2 (7 x - 1) : - 14 x + 2

- x - 14 x + 2 \geq 8

Add similar elements:

- x - 14 x = - 15 x

- 15 x + 2 \geq 8

Move

2

to the right side

- 15 x \geq 6

Multiply both sides by

- 1

15 x \leq - 6

Divide both sides by

15

x \leq - \frac{2}{5}

\frac{3 ^{n}}{3 ^{n - 1}}

36 x^{2} - 100 = 0

\frac{1143467 - 609001}{10}

2 x - 3 < 5

y^{2} - 12 y + 35