Question

7(6 - 5t) - 5< 1-41t; -0,5(8x + 9) - 0,9 > 4x-3​

Answer 1

Ответ:

t < -6; x < -0.3

Пошаговое объяснение:

$42 - 35t - 5 < 1 - 41t \\ 37 - 35t < 1 - 41t \\ 37 - 35t + 41t < 1 \\ - 35t + 41t < 1 - 37 \\ 6t < 1 - 37 \\ 6t < - 36 \\ t < - 6$

$- 4x - 4.5 - 0.9 > 4x - 3 \\ - 4x - 5.4 > 4x - 3 \\ - 4x - 4x - 5.4 > - 3 \\ - 4x - 4x > - 3 + 5.4 \\ - 8x > - 3 + 5.4 \\ - 8x > 2.4 \\ x < - 0.3$

Answer 2

Ответ:

1)42-35t-5<1-41t

37-35t+41t<1

-35t+41t <1-37

6t <-36

t <-6

2)-4x-4,5-0,9>4x-3

-4x-5,4>4x-3

-4x-4x>-3+5,4

-8x>2,4

x<-0,3

Answer 3

Let's solve the given inequalities step by step:

1. 7(6 - 5t) - 5 < 1 - 41t

First, distribute the 7:

42 - 35t - 5 < 1 - 41t

Combine like terms:

-35t - 5 < -41t - 41

Next, simplify the equation:

-35t + 41t < -41 + 5

Combine like terms again:

6t < -36

Now, divide both sides of the inequality by 6:

t < -6

Therefore, the solution for the first inequality is t < -6.

2. -0.5(8x + 9) - 0.9 > 4x - 3

First, distribute the -0.5:

-4x - 4.5 - 0.9 > 4x - 3

Combine like terms:

-4x - 5.4 > 4x - 3

Next, add 4x to both sides of the inequality:

-4x - 5.4 + 4x > 4x - 3 + 4x

Simplify the equation:

-5.4 > 8x - 3

Now, add 3 to both sides of the inequality:

-5.4 + 3 > 8x - 3 + 3

Simplify further:

-2.4 > 8x

Finally, divide both sides of the inequality by 8:

-2.4/8 > 8x/8

Simplify:

-0.3 > x

Therefore, the solution for the second inequality is x < -0.3.

To summarize:

1. The solution for the inequality 7(6 - 5t) - 5 < 1 - 41t is t < -6.
2. The solution for the inequality -0.5(8x + 9) - 0.9 > 4x - 3 is x < -0.3.