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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Answer:
Step-by-step explanation:
If congruent the sides are equal
15x-9=7x+11
8x=20
x=20/8=2.5
We have the next information
x= the shortest side measure
y= the second side measure
y=x+100
z= the third side measures
z=x+700
We know also that the perimeter is 2900 ft
Therefore the equation for the perimeter of the triangle will be
we sum like terms
then we isolate the x
therefore
x=700ft
y=700+100=800ft
z=700+700=1400ft
The lengths of the sides of the lote are 700 ,800, and 1400 ft,
m ∠b = 133°, m ∠c = 47°, and m ∠d = 133°.
<h3>
Further explanation</h3>
Follow the attached picture. I sincerely hope that's precisely a correct illustration.
We will use a graph of two intersecting straight lines.
Note that m ∠a and m ∠c are vertical angles. Since vertical angles share the same measures, in other words always congruent, we see
We continue to determine m ∠b and m ∠d.
Note that m ∠b and m ∠d represent supplementary angles. Recall that supplementary angles add up to 180°.
Let us see the following steps.
Both sides subtracted by 47°.
Thus
Finally, note that m ∠b and m ∠d are vertical angles. Accordingly,
<u>Conclusion:</u>
- m ∠a = 47°
- m ∠b = 133°
- m ∠c = 47°
- m ∠d = 133°
<u>Notes:</u>
- Supplementary angles are two angles when they add up to 180°.
- Vertical angles are the angles opposite each other when two lines cross. Note that vertical angles are always congruent, or of equal measure.
<h3>Learn more</h3>
- About the measure of the central angle brainly.com/question/2115496
- Undefined terms needed to define angles brainly.com/question/3717797
- Find out the measures of the two angles in a right triangle brainly.com/question/4302397
Keywords: m∠a = 47°, m∠b, m∠c, and m∠d, 133°, vertical angles, supplementary, 180°, congruent