Which of the points are solutions to the inequality?
1 answer:
Answer:
<h2>(0,1) and (2,5).</h2>Step-by-step explanation:
The graph of the inequality is attached.
Remember, a solution of an inequality is a point on the shaded region. Also, it must satisfy the inequality expression
From the graph we know the possible answers are (0, 1) and (2, 5), let's prove it.
<h3>For (0, 1):</h3>Which is true, so (0, 1) is solution.
<h3>For (2, 5):</h3>Which is true, so (2, 5) is solution.
Therefore, the solutions are (0,1) and (2,5).
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Given that <span>the number of possible handshakes within a group of n people is given by the equation:
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Given that there are 105 people at a party, the number of possible handshakes is given by:
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Given that there are 105 people at a party, the number of possible handshakes is given by:
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Answer:
This is the same as writing y < (-1/2)x+3
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Explanation:
The dashed boundary line goes through (0,3) and (4,1)
Apply the slope formula for those two points
m = (y2-y1)/(x2-x1)
m = (1-3)/(4-0)
m = -2/4
m = -1/2
The slope of the dashed line is -1/2. The y intercept is 3. So we go from y = mx+b to y = (-1/2)x+3 to represent the equation of the dashed line. This is the same as writing
We shade below the dashed line to represent the inequality . Points in the shaded region are solutions to the inequality. One example point is (0,0).
Note that we don't have "or equal to" as part of the inequality sign because we are not including points on the boundary. A solid line, rather than a dashed line, would include points on the boundary.