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Free_Kalibri [48]
4 years ago
14

Solve the inequality 2x<8

Mathematics
1 answer:
larisa86 [58]4 years ago
5 0

The solution to the inequality 2x<8 is x<4.

Step-by-step explanation:

Given inequality is;

2x < 8

For solving this inequality, we will divide both sides by 2 to find the value of x, therefore;

Dividing both sides by 2

\frac{2x}{2}

It means that x is less than four.

Thus,

The solution to the inequality 2x<8 is x<4.

Keywords: inequality, division

Learn more about division at:

  • brainly.com/question/8358304
  • brainly.com/question/8540796

#LearnwithBrainly

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This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality  4x − 5 < 19 since 6 is excluded

<h3>Inequality expression</h3>

Inequalities are equation not separated by an equal sign

Given the inequality expression

4x − 5 ≤ 19

4x ≤ 19 + 5

4x ≤  24

x≤ 6

This solution shows that 6 is included in the solution due to the equal sign and not true for the inequality  4x − 5 < 19 since 6 is excluded

Given the equation

4x + 3 = 23

4x = 23 - 3

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x = 5

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Step-by-step explanation:

7 0
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Which graph shows the solution to the system of linear inequalities?
Vadim26 [7]

Answer:

Observe the attached image.

Step-by-step explanation:

We have the following linear inequalities

y > \frac{2}{3}x + 3\\\\y \leq \frac{1}{3}x + 2

Graph the lines corresponding to each inequality

y > \frac{2}{3}x + 3 →  y = \frac{2}{3}x + 3

<u>Cut with the y axis: </u>

y = 3

<u>Cut with the x axis:</u>

0 = \frac{2}{3}x + 3

-3 = \frac{2}{3}x

x = -4.5

y \leq \frac{1}{3}x + 2 →  y = \frac{1}{3}x +2

<u>Cut with the y axis: </u>

y = 2

<u>Cut with the x axis:</u>

0 = \frac{1}{3}x + 2

-2 = \frac{1}{3}x

x = -6

Now graph the two lines

For y > \frac{2}{3}x + 3

The region is made up of all the points that are above the line y =\frac{2}{3}x + 3

For y \leq \frac{1}{3}x + 2

The region is made up of all the points that are on the line and below y = \frac{1}{3}x +2

The final region will be the interception of both regions

Observe the attached image.

The system shown in the image you attached is:

y > \frac{2}{3}x + 3\\\\y \leq -\frac{1}{3}x + 2

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Answer:

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