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2 years ago

What is the solution of the inequality shown below? c+3>8

Mathematics

1 answer:

Tatiana [17]2 years ago

4 0

Answer:

c > 5

Step-by-step explanation:

The properties of equality can be used to solve inequalities. Attention needs to be paid to ordering.

<h3>Application</h3>

We can subtract 3 from both sides to solve this.

c +3 > 8 . . . . . . given

c +3 -3 > 8 -3 . . . . subtract 3 from both sides

c > 5 . . . . . . . . . simplify

The solution is c > 5.

<em>Additional comment</em>

Adding or subtracting a value to a number on a number line is equivalent to shifting it right or left. It does not change ordering.

Multiplying or dividing by a <em>positive</em> number is equivalent to expanding or compressing the distance from zero. It does not change ordering.

Multiplying or dividing by a <em>negative</em> number reflects the value across the origin, in addition to expanding or compressing the distance from zero. This reflection reverses the left-right ordering. For example, -2 < -1, but 2 > 1. (Both numbers multiplied by -1.)

As long as you're aware of the effect on ordering, you can use any of the properties of equality to solve inequalities.

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3 years ago

You usually buy a 16.5-ounce bottle of shampoo. There is a new bottle that says it gives you 30% more free.

Katarina [22]

Answer:

$\frac{x-16.5}{16.5}=0.30$

Hopefully, this is your desired setup. (I noticed the formula you have to fill in there.)

Have a good day.

Step-by-step explanation:

Hi.

You could use the percent change formula.

Since we know it is a percent increase then we will do new-old instead of old-new:

$\frac{\text{new}-\text{old}}{\old}$

x is the new amount of shampoo.

16.5 is the original amount (old) of shampoo.

The percent increase is 30%=0.30 .

So we have the following equation:

$\frac{x-16.5}{16.5}=0.30$

We could have found the equation like this:

$16.5+16.5(0.30)=x$

Subtract 16.5 on both sides:

$16.5(0.30)=x-16.5$

Divide both sides by 16.5:

$0.30=\frac{x-16.5}{16.5}$

By us of symmetric property of equality:

$\frac{x-16.5}{16.5}=0.30$

5 0

3 years ago

Read 2 more answers

You roll a number cube twice first roll is a four second roll I roll a even number is that a defendant or independent situation

Katyanochek1 [597]

Independent because the ratio of the second cube is the same (1:6), and it isn't affected by the result of the first cube

7 0

3 years ago

Write a expression the product of eght and seven less than a number

MrRissso [65]

Answer:

Step-by-step explanation:

The question says that you are multiplying 8 and something together. So to start with, it looks like this.

8*something.

Now you have to get 7 less a number which is 7 - x

So something is 7 - x

8(7 - x) is your answer.

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3 years ago

Which two fractions are equivelent to 1 over 4

Serhud [2]

Answer:

2/8 and 3/12

Step-by-step explanation:

You multiply both the numerator and denominator by the same number to get equivalent fractions.

1 x 2

4 x 2

= 2/8

and

1 x 3

4 x 3

= 3/12

8 0

3 years ago