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(a)
Identify the equation have no solution or infinitely many solution.
(a)
![Check Mark](/static/check-mark.png)
Answer to Problem 57HP
Infinitely Many Solution.
Explanation of Solution
Given:
The inequality:
Concept Used:
If an equation is x = a, this means the equation is true only when the variable assumes the value a. The equation has only one solution exists.
If an equation a = a, this means the equation is true for any value of the variable, has infinitely many solution.
If a = b, this means there is no value of the variable that will make a equal to b , has no solution.
Calculation:
The inequality:
Therefore we can conclude that there is infinitely many solutions. Whatever number we put in for the variable x, it'll always give you a true statement.
Thus, this inequality is having infinitely many solutions; the inequality is true for all real values of x.
(b)
Identify the equation have no solution or infinitely many solution.
(b)
![Check Mark](/static/check-mark.png)
Answer to Problem 57HP
No Solution.
Explanation of Solution
Given:
The inequality:
Concept Used:
If an equation is x = a, this means the equation is true only when the variable assumes the value a. The equation has only one solution exists.
If an equation a = a, this means the equation is true for any value of the variable, has infinitely many solution.
If a = b, this means there is no value of the variable that will make a equal to b , has no solution.
Calculation:
The inequality:
No Solution If the coefficients of variable are the same on both sides are equal, but the constants are different, then no solutions will occur.
If the equation ends with a false statement (example: a = b) then you know that there`s no solution.
Thus, this inequality is having no solution.
Chapter 8 Solutions
Glencoe Math Accelerated, Student Edition
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