What is -2t-3(10t+5)>= 3t-9-6t ?

The solution to -2t-3(10t+5)>= 3t-9-6t is t<=-6/29

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-2t-3(10t+5)>= 3t-9-6t

- 2 t - 3 (10 t + 5) \geq 3 t - 9 - 6 t

t \leq - \frac{6}{29}

Interval Notation

(- \infty, - \frac{6}{29}]

Decimal Notation

t \leq - 0.20689 \dots

Solution steps

- 2 t - 3 (10 t + 5) \geq 3 t - 9 - 6 t

Group like terms

- 2 t - 3 (10 t + 5) \geq 3 t - 6 t - 9

Add similar elements:

3 t - 6 t = - 3 t

- 2 t - 3 (10 t + 5) \geq - 3 t - 9

Expand

- 3 (10 t + 5) : - 30 t - 15

- 2 t - 30 t - 15 \geq - 3 t - 9

Add similar elements:

- 2 t - 30 t = - 32 t

- 32 t - 15 \geq - 3 t - 9

Move

15

to the right side

- 32 t \geq - 3 t + 6

Move

3 t

to the left side

- 29 t \geq 6

Multiply both sides by

- 1

29 t \leq - 6

Divide both sides by

29

t \leq - \frac{6}{29}

\frac{x ^{- 4}}{x ^{7}}

4 t - 2 = 14

- 30 = 3 n - 12 n

\frac{2 x ^{2} - 12 x}{x ^{3} - 36 x}

36 - x = - 36

What is -2t-3(10t+5)>= 3t-9-6t ?
The solution to -2t-3(10t+5)>= 3t-9-6t is t<=-6/29