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1 year ago

How do you solve a linear inequality and graph on a number line?

1 answer:

5 0

This is very similar to solving linear equations except for one thing, If we multiply or divide by a negative number, we must flip the inequality sign.

<h3>What is linear inequality?</h3>

In mathematics, inequality occurs when a non-equal comparison is made between two mathematical expressions or two numbers. In general, inequalities can be either numerical inequality or algebraic inequality or a combination of both.

To better understand it, let's examine the example.

2x - 5 < 3

So, when we solve, let's just consider the inequality sign like a regular equal sign.

Let's start by adding 5 to each sides.

2x - 5 + 5 < 3 + 5

To find the value of x , we must divide it by two.

2x/2 <8/2

And the final result is x= 4.

This is our answer.

So if we need to graph it, let’s draw a number line and draw an open circle at 4. Open circle because x is not equal to 4. Then make an arrow going to the left.

to know more about linear inequality and graph:

brainly.com/question/21103162

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Rounded up to 0.4

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3 years ago

The lengths of the

Dmitrij [34]

Answer:

$S_{\Delta ABC}$ = 4· $S_{\Delta EDC}$

Step-by-step explanation:

From the midpoint theorem, which states that the line that a line drawn such that it joins the midpoints of two sides of a triangle, is parallel to the third side of the triangle and is equal to half the length of the third side

Therefore, the lengths of the sides of ΔDEF, drawn by joining the midpoints of ΔABC is equal to half the length of and parallel to the corresponding side of ΔABC

We therefore, have that the corresponding sides of ΔABC and ΔDEF have a common ratio and a pair of sides in each triangle form same angles, therefore;

ΔDEF is similar to ΔABC by Side, Side, Side SSS similarity.

The length of the perimeter of ΔABC, $S_{\Delta ABC}$ = 2 × The length of the perimeter of triangle ΔEDC, $S_{\Delta EDC}$

$S_{\Delta ABC}$ = 2 × $S_{\Delta EDC}$

∴ $S_{\Delta ABC}$ ≠ 4 × $S_{\Delta EDC}$

The statement which is incorrect is therefore;

$S_{\Delta ABC}$ = 4 × $S_{\Delta EDC}$ .

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3 years ago

In a group discussion the group is typically composed of a recorder several participants and what?

Agata [3.3K]

The answer is a facilitator.
A facilitator is a person who facilitates discussions. He/she plays a neutral in any discussion. The facilitator guides the group to attain their objective. He/She can use different tools to help the group achieve their goals.

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3 years ago

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g A researcher wants to construct a 95% confidence interval for the proportion of children aged 8-10 living in Atlanta who own a

Helga [31]

Answer:

The sample size needed is 2401.

Step-by-step explanation:

In a sample with a number n of people surveyed with a probability of a success of $\pi$ , and a confidence level of $1-\alpha$ , we have the following confidence interval of proportions.