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kolezko [41]
3 years ago
6

What is the graph of the inequality

Mathematics
2 answers:
GrogVix [38]3 years ago
4 0

Answer:

Graph represented by option B is the correct choice.

Step-by-step explanation:

We have been given an inequality x\leq 5. We are asked to find the graph of the given inequality.

Our given inequality tells that solution is any value of x less than or equal to 5.

Since our given inequality has less than or equal to sign, then the number line will have a solid dot at x=5.

Since the values of x are less than or equal to 5, so the solution of the inequality will be numbers less than 5.

Since the numbers on the left side of a number line are less than number on right side, therefore, the graph represented by option B is the correct choice.

IgorLugansk [536]3 years ago
3 0

The inequality "x ≤ 5" means that the value of x is going to be less than or equal to the quantity 5.

Because of this, the correct answer on the graph would be a filled in dot (meaning starting at that quantity, rather than one less or one more than), and an arrow pointing to the left.

The value of x could be 5, 4, 3, and so on. Any quantity lower than, and including, 5 is a possible answer for the value of x.

The correct answer is the 2nd option.

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Answer:

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Step-by-step explanation:

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Equation of the line passing through (x', y') and slope = m is,

y - y' = m(x - x')

Equation of the line passing through (-3, 1) and slope = 2 will be,

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Second line passes through (0, 1) and (-1, 4) and y-intercept 'b' of the line is 1.

Let the equation of this line is,

y = mx + b

Slope 'm' = \frac{y_2-y_1}{x_2-x_1}

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From equation (1) and (2),

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x = -1\frac{1}{5}

From equation (1),

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y = -\frac{12}{5}+7

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  = 4\frac{3}{5}

Therefore, exact solution of the system of equations is (-1\frac{1}{5},4\frac{3}{5}).

Option (B) will be the answer.

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Answer:

Step-by-step explanation:

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Step-by-step explanation:

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