(3х+4)(14-28х) ---------------->0 (9х-27)(6х-30)

Предыдущий
вопрос Следующий
вопрос

Let's solve each inequality separately:

Expand the expression:
42x - 84x^2 + 56 - 112x

Rearrange the terms to simplify:
-84x^2 - 70x + 56

Now we need to find the critical points by setting the expression equal to 0:
-84x^2 - 70x + 56 = 0

Now we solve for x using the quadratic formula:
x = (-(-70) ± √((-70)^2 - 4(-84)56))/(2*(-84))

x = (70 ± √(4900 + 18816))/(-168)

x = (70 ± √23716)/(-168)

Now we have the two possible critical points for x.

Now we check the intervals determined by the critical points and the endpoints of the interval, which are (3x+4)(14-28x) = 0 or undefined.

Expand the expression:
54x - 270 - 162x + 810

Simplify:
-162x + 54x - 270 + 810

Now we need to find the critical points by setting the expression equal to 0:
-108x + 540 = 0

Now solve for x:
x = 540/108
x = 5

Now we check the intervals determined by the critical points and the endpoints of the interval, where the expression is equal to 0 or undefined.

I hope this helps! Let me know if you need further clarification.