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soldier1979 [14.2K]
3 years ago
6

(Inequalities) what do you have to do when multiplying or dividing by a negative number?

Mathematics
2 answers:
Rashid [163]3 years ago
4 0

Answer:

When we multiply or divide by a negative to solve an inequality, it's the same as multiplying or dividing by a negative to solve a regular equation! Just remember to multiply or divide both sides by the same quantity, then simplify! Remember, when multiplying or dividing by a negative <u>YOU MUST FLIP THE INEQUALITY SIGN.</u>

Step-by-step explanation:

You are welcome.

And I hope this helps.      :)

ipn [44]3 years ago
4 0

Answer:

Step-by-step explanation:

If you begin with an inequality and wish to solve for one of the variables, you must isolate that variable on the right side of a new inequality.  Now supposing that that variable is negative in the given inequality, and that you must change that sign to positive.  Generally you can either multiply every term in the given inequality by -1 or divide every term by -1.  In both cases you must change the direction of the inequality sign.

Example:  Given -3x > 2 + 5y, solve for x.  To do this, multiply all three terms in the inequality by (-1/3), which yields x on the left and -2/3 - (5/3)y on the right.  <em>We must reverse the direction of the inequality sign</em>, so the final answer is  x < -2/3 - (5/3)y.

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The combined height of one fir tree and one pine tree is 212121 meters. The height of 444 fir trees stacked on top of each other
Drupady [299]

Answer:

Height of fir tree = 9 meters

height of pine tree= 12 meters

Step-by-step explanation:

The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.

Let x be the height of fir tree and y be the height of pine tree

x+y=21

Subtract x from both sides

y=21-x

height of 4 fir trees = pine tree +24

4x=y+24

Substitute 21-x or y in the above equation

4x=21-x+24

Add x on both sides

5x=45

Divide by 5 on both sides

x=9

Now plug in 9 for x and find out y

y=21-x

y=21-9

y=12

Height of fir tree = 9 meters

height of pine tree= 12 meters

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3 years ago
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Answer:

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3 years ago
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The Montanez family is a family of four people. They have used 3,485.78 gallons of water so far this month. They cannot exceed 7
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Answer:

x ≤ 3764.72

Step-by-step expl anation:

The Montanez family cannot use more than 7250.50 gallons, this means that they can use less than or equal to 7250.50 gallons, this tells you which sign to use.  The variable x can be used to describe how much water they have left to use and then you add 3,485.78 gallons to x.

x + 3485.78 ≤ 7250.50   This inequality means that the amount of water the family has yet to use added to 3485.78 gallons cannot exceed 7250.50 gallons.

Next, you simplify the inequality using the property of inequalities.

x ≤ 7250.50 - 3485.78

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(5.)
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3 years ago
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