Answer:
A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right.
Step-by-step explanation:
We can start by dividing the inequality by 3 to get ...
8 -4x < 2(x -5)
And we can divide by 2 to simplify further to ...
4 -2x < x -5
Now, we can add 2x+5, which gives ...
9 < 3x
and then divide by 3 again:
3 < x
This is graphed on a number line as described above.
Answer:
a²+2a-8
Step-by-step explanation:
In Step 6, the equation is ...
-12 = x - 36
In step 7, the equation is ...
-12 +36 = x -36 +36
Clearly, to get to step 7, 36 has been added to both sides of the equation.
Adding 36 to both sides of the equation is justified by ...
... C) Addition Property of Equality
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<em>More about the addition property of equality</em>
The addition property of equality says you can add the same value to both sides of an equation without changing the values of the variables that make the equation true. Here, x=24 makes the equation of step 6 true, and x=24 makes the equation of step 7 true.
The answer is choice B
y > (2/3)x + 1
The boundary line is the equation y = (2/3)x + 1 which can be found through the slope formula to get m = 2/3. Then you use one of the two points on the line to find b = 1.
The equal sign in y = (2/3)x + 1 changes to a "greater than" sign to indicate two things
A) The shaded region is above the boundary line
B) The boundary line itself is a dashed line to indicate "no solution points on this line"
