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svetlana [45]
3 years ago
13

Solve the following inequality. Then place the correct answer in the box provided. 2x < 8 If someone could please explain it

as well then I would be much obliged! Oh and by the way giving a few points as well!
Mathematics
2 answers:
Tanya [424]3 years ago
8 0
When solving an inequality, the rules are similar to solving an equation, but instead there's an inequality sign. The only thing to be careful about when solving an inequality is that when you multiply/divide by a negative number, you have to flip the inequality sign, but you don't have to worry about that here!

So you have 2x < 8.

Divide both sides by 2 to isolate the variable, x:
2x \ \textless \  8\\&#10;x \ \textless \  4

Your final inequality is x < 4.
Licemer1 [7]3 years ago
4 0

Answer:

The value of x is x< 4.

Step-by-step explanation:

Consider the provided inequality.

2x < 8

We need to solve the above inequality for x.

Divide both the sides by 2.

\frac{2x}{2} < \frac{8}{2}

x< 4

Hence, the value of x is less than 4.

Therefore, the value of x is x< 4.

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SVEN [57.7K]

Answer:

m = 100, t = 80

Step-by-step explanation:

m +  t = 180

6m + 8t = 1240

3 0
2 years ago
If angle 2 is 97 what is the measurement of angle 1
Angelina_Jolie [31]

Answer:

83

Step-by-step explanation:

The total angle of a flat line is 180. If you subtract the angle of 2 from 180 you get 83 which is the angle of 1.

8 0
2 years ago
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Maria had $100 at the beginning of summer vacation. She plans to mow lawns and charge $20 per lawn. Which graph could be used to
Illusion [34]

Answer:

Line graph

Step-by-step explanation:

7 0
3 years ago
|x - 12| = 4<br> please provide an explanation
geniusboy [140]

Answer: x = 16, x = 8

Step-by-step explanation:

|a| > 0, there are two solutions

|a| = 0, there is one solution

|a| < 0, there are no solutions

So, in this problem, we have two solutions.

In absolute value, the expression inside can be equal to itself OR its opposite.

Ex: |y| = y, |y| = -y

So, we can write two equations:

x - 12 = 4, x = 16

-x+12 = 4, x = 8

Check: |16 - 12| = |4| = 4

Check: |8 - 12| = |-4| = 4

4 0
2 years ago
Solve the inequality and express your answer in interval notation<br> x^2+8x+5 &lt;0
irakobra [83]

The interval notation is (-\sqrt{11}-4, \sqrt{11}-4)

Explanation:

The inequality is x^{2}+8 x+5

Let us complete the square, we get,

x^{2}+8 x+5+4^{2}-4^{2}

Simplifying, we have,

(x+4)^{2}+5-4^{2}

(x+4)^{2}-11

Adding both sides of the equation by 11, we get,

(x+4)^{2}

Since, we know that for u^{n} , if n is even then -\sqrt[n]{a}

Thus, writing the above expression in this form, we get,

-\sqrt{11}

Also, if a then a and u

Then ,we have,

-\sqrt{11} and x+4

Solving the inequalities, we get,

-\sqrt{11}\ \ \ \ \ \  and  x+4

Merging the intervals, we have,

-\sqrt{11}-4

Hence, writing the solution in interval notation, we have,

(-\sqrt{11}-4, \sqrt{11}-4)

Therefore, the answer is (-\sqrt{11}-4, \sqrt{11}-4)

7 0
3 years ago
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