Question

6) 2,5(2-z)-3,5(z-1)<=2,5(z+2)-1,5(2-z)​

Answer 1

Ответ:

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Answer 2

To solve the inequality $2.5(2-z) - 3.5(z-1) \leq 2.5(z+2) - 1.5(2-z)$, you can follow these steps:

Step 1: Distribute the constants and variables on both sides of the inequality:

$5 - 2.5z - 3.5z + 3.5 \leq 2.5z + 5 - 1.5z + 3$

Step 2: Combine like terms on both sides:

$5 - 6z + 3.5 \leq 2.5z + 5 - 1.5z + 3$

Step 3: Further simplify:

$-6z + 8.5 \leq 2.5z + 8 - 1.5z$

Step 4: Get all the terms involving 'z' on one side and constants on the other side:

$-6z - 2.5z + 1.5z \leq 8 - 8.5$

Step 5: Combine like terms:

$-7z \leq -0.5$

Step 6: Divide both sides by -7. Since we're dividing by a negative number, we reverse the inequality sign:

$z \geq \frac{-0.5}{-7}$

Step 7: Simplify:

$z \geq \frac{1}{14}$

So, the solution to the inequality is $z \geq \frac{1}{14}$.