To calculate: The solution of a(by-2) \geq b(2y+5).

Caelan

Caelan

Answered question

2021-10-20

To calculate: The solution of a(by2)b(2y+5).

Answer & Explanation

Brittany Patton

Brittany Patton

Skilled2021-10-21Added 100 answers

Formula used:
The addition principle for inequalities:
For any real numbers a, b and c:
a<b is equivalent to a+c<b+c
a>b is equivalent to a+c>b+c
Similar statement holds for  and .
The multiplication principle for inequalities:
For any real numbers a and b, and for any negative number c,
a<b is equivalent to ac<bc.
a>b is equivalent to ac>bc.
Similar statement holds for  and .
The distributive property is sometimes called the distributive law of multiplication and division.
Calculation:
Consider, the equation a(by2)b(2y+5).
Apply distributive law on inequality, a(by2)b(2y+5).
aby2a2by+5b
Subtract 2by on both the sides of the inequality aby2a2by+5b.
aby2by2a2by2by+5b
aby2by2a5b
Add 2a on both the sides of the inequality aby2by2a5b.
aby2by2a+2a2a+5b.
aby2by2a+5b
y(ab2b)2a+5b
Divide (ab2b) into both the sides of the inequality y(ab2b)2a+5b.
y(ab2b)(ab2b)2a+5b(ab2b)
y2a+5b(ab2b)
The inequality symbol will not change when we divided (ab2b) to the inequality because a>2 and b>0 then (ab2b)<0.
Hence, the solution to inequality {yy2a+5b(ab2b)}.

Do you have a similar question?

Recalculate according to your conditions!

Ask your question.
Get an expert answer.

Let our experts help you. Answer in as fast as 15 minutes.

Didn't find what you were looking for?