Question

( 1-0,5х < 4-х( 9-2,8х > 6-1,3х​

Answer 1

Ответ:

Пошаговое объяснение:

Удачи))

Answer 2

Let's solve the given inequality step by step.

1. First, we'll simplify the inner inequalities:

   a) 9 - 2.8x > 6 - 1.3x

   Subtract 6 from both sides:

   9 - 6 - 2.8x > -1.3x

   3 - 2.8x > -1.3x

   Now, add 1.3x to both sides:

   3 - 2.8x + 1.3x > 0

   3 - 1.5x > 0

   b) 1 - 0.5x < 4 - x

   Subtract 4 from both sides:

   1 - 4 - 0.5x < -x

   -3 - 0.5x < -x

2. Now, let's combine the two inequalities:

   We have:

   3 - 1.5x > 0 (inequality a) -3 - 0.5x < -x (inequality b)

   Let's isolate x in inequality b by adding 0.5x to both sides:

   -3 < -x + 0.5x

   -3 < 0.5x

   Now, divide both sides by 0.5 (which is the same as multiplying by 2):

   -6 < x

3. Now, let's consider inequality a:

   3 - 1.5x > 0

   Subtract 3 from both sides:

   -1.5x > -3

   Divide both sides by -1.5 (remember to reverse the inequality because you're dividing by a negative number):

   x < 2

So, the solution to the given inequalities is:

-6 < x < 2

This means that x must be within the interval (-6, 2).