ACT Exam > ACT Questions > ax + b > 0 is ___________a)double inequali...
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ax + b > 0 is ___________
- a)double inequality
- b)quadratic inequality
- c)numerical inequality
- d)linear inequality
Correct answer is option 'D'. Can you explain this answer?
Verified Answer
ax + b > 0 is ___________a)double inequalityb)quadratic inequalityc...
- Since it has highest power of x ‘1’ and has inequality sign so, it is called linear inequality.
- It is not numerical inequality as it does not have numbers on both sides of inequality.
- It does not have two inequality signs so it is not double inequality.
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ax + b > 0 is ___________a)double inequalityb)quadratic inequalityc...
- Since it has highest power of x ‘1’ and has inequality sign so, it is called linear inequality.
- It is not numerical inequality as it does not have numbers on both sides of inequality.
- It does not have two inequality signs so it is not double inequality.
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ax + b > 0 is ___________a)double inequalityb)quadratic inequalityc...
Linear Inequality:
Linear inequality is an inequality that involves a linear function. In this case, the inequality ax + b > 0 is a linear inequality because it involves a linear function (ax) and a constant term (b).
Main Characteristics of a Linear Inequality:
- In a linear inequality, the highest power of the variable is 1.
- The graph of a linear inequality forms a straight line.
- The solution set of a linear inequality is usually a half-plane.
Explanation of the Given Inequality:
The given inequality ax + b > 0 is a linear inequality because it involves a linear function (ax) and a constant term (b). The inequality states that the expression ax + b is greater than 0. This means that for the inequality to hold true, the values of x must satisfy the condition that ax + b is greater than 0.
Conclusion:
Therefore, the given inequality ax + b > 0 is classified as a linear inequality because it involves a linear function and a constant term, and the solution set forms a half-plane on a graph.
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ax + b > 0 is ___________a)double inequalityb)quadratic inequalityc)numerical inequalityd)linear inequalityCorrect answer is option 'D'. Can you explain this answer?
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