Concept explainers
(a)
The inequality by gathering the variable terms on the left side and the constant terms on the right side is to be solved.
(a)
Answer to Problem 49PPE
The solution of inequality is,
Explanation of Solution
The given inequality is,
Where,
- v represents the variable.
The given inequality is solved by gathering the variable terms on left side and constant terms on the right side as follows:
(b)
The inequality by gathering the constant terms on the left side and the variables terms on the right side is to be solved.
(b)
Answer to Problem 49PPE
The solution of inequality is,
Explanation of Solution
The given inequality is,
Where,
- v represents the variable.
The given inequality is solved as follows:
(c)
The result obtained in part (a) and (b) is to be compared.
(c)
Answer to Problem 49PPE
Both inequalities are true for all positive numbers greater and equal to
Explanation of Solution
The final expression obtained of the inequality in part (a) is,
The final expression obtained of the inequality in part (b) is,
The inequality in part (a) and in part (b) is true when the value of variablechangesfrom
(d)
The method of solving the inequality among part (a) and part (b)is to be selected.
(d)
Answer to Problem 49PPE
The method of solving the inequality in part (b) is selected.
Explanation of Solution
The inequality is solved by gathering the variable terms on the left side and the constant terms on the right side in part (a) while the inequality in part (b) is solved by gathering the constant terms on the left side and the variables terms on the right side.
The sign of inequality in part (a) is to be changed to make the whole expression positive while the solution of inequality is positive in part (b). The expression of inequality is positive without making any change in the sign. Therefore, the method of solving the inequality in part (b) is selected.
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High School Math 2015 Common Core Algebra 1 Student Edition Grade 8/9
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