7x-18less than or equals to 32

Mathematics

1 answer:

horrorfan [7]4 years ago

4 0

Answer: x is less than or equal to 50/7

Step-by-step explanation:

7x-18<=32 is solve just like a normal equation. Add 18 on either side so that

7x<=32+18

7x<=50

x<=50/7.

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Step-by-step explanation:

If we plug the coordinates of point A into the inequality, then we get,
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That last inequality is a true statement since 9 is to the right of -2 on the number line. That means (10,-1) is a solution. Choice A is one of the answers.
Choices B and D are also answers for similar reasons.
Something like choice C is not a solution because
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You should find that choice E is false as well.

If you graphed the inequality and all of the points mentioned (see below), then you can visually confirm the answers. Notice how points A, B and D are in the blue shaded region which is the solution set.
The point E on the boundary does not count as a solution. This is due to the lack of "or equal to" portion of the inequality sign. That visually shows point E is not a solution. Point C isn't a solution either as it's nowhere near the blue shaded region.