2x - 5 = 2 find the value of x
Answers
Step-by-step explanation:
As long as x<-17/6 (decimal: -2.83333 to 5d. p), there are infinitely many solutions to the value of x that make the expression x-5/2–2x-1/3 a positive number. The smaller x is, the greater is the divergence from 0 on the positive side.
PREMISES
x-5/2–2x-1/3>0
CALCULATIONS
x-5/2–2x-1/3>0
(x-2x)-(5/2+1/3)>0 (Group like terms altogether to make the math easier)
-x-(15/6+2/6)>0 (Express the fractions in the common denominator 6)
-x-(15+2)/6>0
-x-17/6>0
-x-(17/6–17/6)>0+17/6
-x-0>17/6
-1(-x)<-1(17/6) (Reverse the “>” sign to “<”)
x<-17/6 as an improper fraction or -2 5/6 as a mixed number (decimal: -2.83333 to 5d. p)
PROOF
If x<-17/6, then the equations
x-(15/6+2/6)=0
-17/6-(15/6+2/6)=0
-17/6-(17/6)=0 and
0=0 prove the root (zero) x<-17/6 of the inequality x-5/2–2x-1/3>0
2x - 5 = 2
2x=2+5
2x=7
x=7/2