Which compound inequality is represented by the graph?
1 answer:
The compound inequality represented by the graph shown in the image below is 5 < x < 9
<h3>What is an equation?</h3>An equation is an expression that shows the relationship between two or more variables and numbers.
The image shown represents a compound inequality. It represents:
x > 5 and x < 9
The compound inequality represented by the graph shown in the image below is 5 < x < 9
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All exercises involve the same concept, so I'll show you how to do the first, then you can apply the exact same logic to all the others.
The first thing you need to know is that, when a certain quantity multiplies a parenthesis, you can distribute that number to every element in the parenthesis. This means that
So, is multiplying the parenthesis involving
and
, and we distributed it:
multiplies both
and
in the final result.
Secondly, you have to know how to recognize like terms, because they are the only terms you can sum. Two terms can be summed if they have the same literal expression. So, for example, you cannot sum , and neither
exponents count.
But you can su, for example,
or
So, take for example exercise 9:
We distribute the 1.2 through the first parenthesis:
And you can distribute the negative sign through the second parenthesis (it counts as a -1 to distribute):
So, the expression becomes
Now sum like terms:
- <em>I am assuming the picture is of a stained glass window in the shape of a semicircle</em>.
Answer: 7.71 feet.
Step-by-step explanation: <em>The formula for finding the circumference of a circle is π × d + d.</em>
The diameter is 3 feet. Substitute this into the equation:
π × 3 + 3.
Solve -
3.14 × 3 = 9.42
of 9.42 = 4.71
4.71+3 = 7.71
Round -
The answer is already rounded.
Hope this helped!~