SOLUTION: Use the multiplication property of inequalities to solve the inequality. Graph the solution set. 1/4x≥-7/8 I think the answer is x≥-7/2 but am not positive, nor d

Algebra ->  Inequalities -> SOLUTION: Use the multiplication property of inequalities to solve the inequality. Graph the solution set. 1/4x≥-7/8 I think the answer is x≥-7/2 but am not positive, nor d      Log On


   



Question 644652: Use the multiplication property of inequalities to solve the inequality. Graph the solution set.
1/4x≥-7/8
I think the answer is x≥-7/2 but am not positive, nor do I know how to graph the solution set. I would appreciate any help, as I need to show my work on this too.

Found 2 solutions by stanbon, MathTherapy:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Use the multiplication property of inequalities to solve the inequality. Graph the solution set.
1/4x≥-7/8
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Multiply both sides by 4 to get:
x >= 4(7/8)
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x >= 7/2
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x >= 3.5
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Draw a number-line.
Plot the value x = 3.5 on the line.
Put a solid circle at that point on the line.
Sketch an arrow from that point to the right.
The point and the arrow comprise the graph of x >= 3.5
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Cheers,
Stan H.
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Answer by MathTherapy(10552) About Me  (Show Source):
You can put this solution on YOUR website!

Use the multiplication property of inequalities to solve the inequality. Graph the solution set.
1/4x≥-7/8
I think the answer is x≥-7/2 but am not positive, nor do I know how to graph the solution set. I would appreciate any help, as I need to show my work on this too.

You're correct, as x+%3E=+-+7%2F2

On the number line, place a CLOSED circle above or below the point -+7%2F2, or -+3.5

If you test to the left of that point, say - 4, the inequality will be FALSE.

If you test to the right of that point, say - 3, the inequality will be TRUE.

Therefore, you graph a VERY HEAVY-WEIGHTED ARROW from the point -+7%2F2%7D%7D%2C+or+%7B%7B%7B-+3.5, pointing to the right.

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