Question

0,6(a – 2) - 0,2 > 0,8(a + 2) + 3,5;-1 4+05116​

Answer 1

Ответ:

5,678

Объяснение:

Answer 2

To solve the inequality, let's simplify the expression step by step:

1. Distribute the terms on both sides of the inequality: 0.6a - 1.2 - 0.2 > 0.8a + 1.6 + 3.5

2. Combine like terms on each side: 0.6a - 1.2 - 0.2 > 0.8a + 5.1

3. Now, let's isolate the variable term (a) on one side and the constant terms on the other side. To do this, we'll move the terms involving 'a' to the left side and the constants to the right side: 0.6a - 0.8a > 5.1 + 1.2 + 0.2

4. Combine the 'a' terms and constants on each side: -0.2a > 6.5

5. To solve for 'a', divide both sides by -0.2. Remember that when dividing by a negative number, the inequality sign must be flipped: a < 6.5 / -0.2

6. Now, perform the division: a < -32.5

So, the solution for 'a' is a value less than -32.5. In interval notation, the solution can be written as:

a ∈ (-∞, -32.5)