In simplifying inequalities, there are a few things that you have to remember. Here are some:
<span>Many simple inequalities can be solved by adding, subtracting, multiplying or dividing both sides until you are left with the variable on its own.
But these things will change direction of the inequality:<span>Don't multiply or divide by a variable (unless you know it is always positive or always negative)
We simplify as follows:
2i/2<6u/2
i<3u</span></span>
Answer:
Average rate of change = $11250 per year.
Step-by-step explanation:
Let's take two points from given information (2006, 90000) and (2010, 135000).
Now, use slope formula to find slope.
Slope =
Use the two points to find average rate of change (slope)
Average rate of change =
=
=11250
Average rate of change = $11250 per year.
The answer is: [A]: "No solution" .
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Note: Given:
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y = 4x + 8 ;
y = 4x + 2 ;
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Since: "y = y" ;
4x + 8 = 4x + 2 ; which is not true;
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4x + 8 ≠ 4x + 2 ; since, "8 ≠ 2" ;
Note: Suppose: "4x + 8 = 4x + 2" ;
→ Subtract "4x" from each side of the equation:
4x + 8 − 4x = 4x + 2 − 4x ;
to get:
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" 8 = 2 " ; not true ; since "8 ≠ 2" ;
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Also, suppose:
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4x + 8 = 4x + 2 ;
→ Subtract "2" from BOTH SIDES of the equation;
4x + 8 − 2 = 4x + 2 − 2 ;
to get:
4x + 6 = 4x
(Note: "4x + 0 = 4x" ; but "4x + 6 ≠ 4x") l
But even if we have:
4x + 6 = 4x ;
→ Subtract "4x" from EACH side of the equation:
4x + 6 − 4x = 4x − 4x ;
to get:
6 = 0 ; which is not true; "6 ≠ 0" .
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The correct answer is: [A]: "No solution" .
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Answer:
Solve the equation. x3 = 27
