Use the drop-down menus to complete the statement about the inequality m ≥ 2.

Mathematics

2 answers:

Alekssandra [29.7K]3 years ago

5 0

Answer:

The inequality m ≥ 2 has infinity many solutions because 2 and any number to the right of 2 on the number line can be substituted for m to make this inequality true.

Allisa [31]3 years ago

3 0

The inequality $m\geq 2$ has infinitely many solutions because any number to the right of 2 on the number line can be substituted form m to make this inequality true.

Explanation:

The inequality $m\geq 2$ means is the set of all possible real values of m which are greater than or equal to 2.

Hence, the inequality $m\geq 2$ contains infinitely many solutions.

To make this inequality true, we can substitute any value from the right of 2 on the number line for $m\geq 2$ in the equation, such that the inequality becomes true.

Hence, any number to the right of 2 on the number line can be substituted form m to make this inequality true.

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Solve the System by Graphing:

Marat540 [252]

Answer:

B) One solution
The solution is (2, -2)
The graph is below.

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Explanation:

I used GeoGebra to graph the two lines. Desmos is another free tool you can use. There are other graphing calculators out there to choose from as well.

Once you have the two lines graphed, notice that they cross at (2, -2) which is where the solution is located. This point is on both lines, so it satisfies both equations simultaneously. There's only one such intersection point, so there's only one solution.

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To graph these equations by hand, plug in various x values to find corresponding y values. For instance, if you plugged in x = 0 into the first equation, then,

y = (-3/2)x+1

y = (-3/2)*0+1

y = 1

The point (0,1) is on the first line. The point (2,-2) is also on this line. Draw a straight line through the two points to finish that equation. The other equation is handled in a similar fashion.