Question

Линейное неравенство с одной переменной. Решение линейных неравенств с одной переменной. Урок 2 Реши неравенство. -4,5(8,3t +0,3) > 0,9 (t+41) Ответ:​

Answer 1

Ответ:

t∈(-∞; -1). проверено в онлайн мектеп

Пошаговое объяснение:

Answer 2

Linear Inequality with One Variable

When solving linear inequalities with one variable, the goal is to find the values of the variable that satisfy the inequality. Let's solve the given inequality step by step.

The given inequality is: -4.5(8.3t + 0.3) > 0.9(t + 4) To solve this inequality, we can follow these steps:

1. Distribute and Simplify: - First, distribute the -4.5 on the left side and the 0.9 on the right side of the inequality. - Then simplify the expression.

2. Combine Like Terms: - Combine the like terms on both sides of the inequality.

3. Isolate the Variable: - Isolate the variable on one side of the inequality.

4. Determine the Solution: - Finally, determine the solution set for the inequality.

Let's proceed with solving the given inequality using these steps.

Solution:

1. Distribute and Simplify: - -4.5(8.3t + 0.3) > 0.9(t + 4) - -37.35t - 1.35 > 0.9t + 3.6

2. Combine Like Terms: - -37.35t - 1.35 - 0.9t > 3.6 - -38.25t - 1.35 > 3.6

3. Isolate the Variable: - -38.25t > 3.6 + 1.35 - -38.25t > 4.95 - To isolate t, divide by -38.25 (note: dividing by a negative number reverses the inequality sign) - t < -0.1294117647

4. Determine the Solution: - The solution to the inequality is: t < -0.1294117647

So, the solution to the given inequality -4.5(8.3t + 0.3) > 0.9(t + 4) is t < -0.1294117647.