Which number line shows the solution to the inequality? x + 1> 5
2 answers:
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Answer:
Please check the attached graph.
From the graph, it is clear that option B is the correct option.
Step-by-step explanation:
Given the function
Determining the y-intercept
We know that the value of the y-intercept can be determined by setting x = 0, and determining the corresponding value of y.
so
substituting x = 0 in the fuction
Apply rule:
Therefore, the point representing the y-intercept is:
- (0, 1.5)
Determining the x-intercept
We know that the value of the x-intercept can be determined by setting y = 0, and determining the corresponding value of x.
so
substituting y = 0 in the function
Using the zero factor principle
if ab=0, then a=0 or b=0 (or both a=0 and b=0)
We know that can not be zero or negative for x ∈ R
Thus, NONE represents the x-intercept.
Please check the attached graph.
From the graph, it is clear that option B is the correct option.
