Hi!
<u><em>NOTE: When solving absolute value inequalities, > or ≥ means OR, and < and ≤ means AND.</em></u>
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|2x - 3| > 7
Since the absolute value is isolated, we can now solve.
First, remove absolute value signs, then solve for x.
2x - 3 > 7
2x > 10
x > 5
Now, we have to solve again, but this time we flip the inequality sign and switch positive 7 to a negative 7, like so:
2x - 3 < -7
2x < -4
x < -2
Now, as stated above, since it's a greater than symbol it means OR.
<u><em>x > 5 OR x < -2</em></u>
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<u><em>For more information on solving absolute value inequalities:</em></u>
brainly.com/question/14473339
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Answer:
x=11.2
Step-by-step explanation:
if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
<h3>
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What is wrong with the graph?</h3>
When we graph over intervals like (a, b) or [a, b] or something like that, we use dots to define the end of the intervals, and to denote that the function ends abruptly or we have a jump.
In this case, you can see that between the end and the second part and the beginning of the third part there is a jump, so the use of dots is correct there, but if you look at the part where the first part connects with the second part:
y = 5 if x < - 2
y = -2x + 1 if -2 ≤ x < 1
we don't have a discontinuity there, so there shouldn't be a dot.
That is the only error with the graph.
If you want to learn more about piecewise functions:
brainly.com/question/3628123
#SPJ1
Answer:
-7/8
Step-by-step explanation:
If two lines are parallel, they have the same slope. The slope of p is -7/8 (y=mx+b), so the slope of q is also -7/8.
Create an equation: x*(x-3)=14
5.53112887 and 2.53112887
You can round the numbers and get 5.53 and 2.53
