Write an inequality for the sentence: the sum of a number and 3 is at least 4. a. N + 3 > 4 b. N + 3 < 4 c. N + 4 > 1 d. N + 4 < 1

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Write an inequality for the sentence: the sum of a number and 3 is at least 4. a. N + 3 > 4 b. N + 3 < 4 c. N + 4 > 1 d. N + 4 < 1

nothjing

step-by-step explanation:

Answer

1 number

explanation

if we use a graphing calculator, there is only one such number [tex]c\in[0.5,0.75][/tex] that satisfies the conclusion of the mean value theorem, that is, a number [tex]c\in[0.5,0.75][/tex] such that

[tex]f'(c) = \dfrac{f(0.75) - f(0.5)}{0.75-0.5},[/tex]

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.

a.N+3>4

Step-by-step explanation:

Let N be the number

According to question

Sum of N and 3 is given by

N+3

Atleast means greater than or equal to

At-least 4 means greater than or equal to 4

Therefore,

[tex]N+3\geq 4[/tex]

Hence, the inequality for the given sentence is given by

[tex]N+3\geq 4[/tex]

a.N+3>4