What is the solution to the inequality 1 2/3 > r - 7/12

r ≤ 2 1/4

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Rewriting Fractions

Step-by-step explanation:

Step 1: Define

1 2/3 ≥ r - 7/12

Step 2: Solve for r

Rewrite:                    5/3 ≥ r - 7/12

Isolate r:                    9/4 ≥ r

Rewrite:                    r ≤ 9/4

Reduce:                    r ≤ 2 1/4

Here we see that any number r less than or equal to 2 1/4 will work as a solution to the inequality.

solution:

the given function is ,

      =

the three roots of this quadratic function is , 0 ,8 and 10.all the roots are real and rational.

if a quadratic equation is of the form ,

sum of the roots = a + b +c= 0+8+10=18=  

product of roots taken two at a time = a b + b c+ c a = 0+80+0=80 =  

product of roots = a b c = 0=  

there are 11 doors in a hall starting from 0 to 11.the entry in the hall is permitted through gate number 0 and exit is allowed through only gate number 8 and 10.so, three roots(0,8,10) of quadratic function is given by entry and exit route of this hall.