Answer:
See Explanation
Step-by-step explanation:
If a Function is differentiable at a point c, it is also continuous at that point.
but be careful, to not assume that the inverse statement is true if a fuction is Continuous it doest not mean it is necessarily differentiable, it must satisfy the two conditions.
- the function must have one and only one tangent at x=c
- the fore mentioned tangent cannot be a vertical line.
And
If function is differentiable at a point x, then function must also be continuous at x. but The converse does not hold, a continuous function need not be differentiable.
- For example, a function with a bend, cusp, or vertical tangent may be continuous, but fails to be differentiable at the location of the anomaly.
Question?.......................
5≥|4-2x|
5≥4-2x≥-5
-1≤2x≤9
-0.5≤x≤4.5
x∈[-0.5;4.5]
Answer: (A) y > 3
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Equation given
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2(3y - 2) > 14
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Use distributive property to open up the bracket
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6y - 4 > 14
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Add 4 to both sides
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6y > 18
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Divide by 3 on both sides
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y > 3
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Answer: y > 3
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