<em>So you think that x = -5 is the solution for the inequality? Let's check it out.</em>
<em>(Check)</em>
<em>- Substitute x = -5 in the inequality</em>
<em /><em />
<em>If it was the symbol ≤ you'd be correct, but it's < so It's a bit wrong.</em>
<em />
<em>Now let's solve the inequality. Separate the inequality by parts.</em>
<em /><em />
<em>Therefore, the inequality is true only when x > -5 or x < 4.</em>
<em />
<em>(Check)</em>
<em>- Substitute x = -4 in the inequality.</em>
<em /><em />
<em>The inequality is true for first case.</em>
<em>- Substitute x = 3 in the inequality</em>
<em /><em />
<em>The inequality is true for second case.</em>
<em />
<em>So the answer for inequality is -5 < x < 4</em>
<em />
<em>That means only {-4, -3, -2, ..., 3} can make the inequality true.</em>
Answer:
The right answer is Option 2:
Step-by-step explanation:
Point-slope form of equation of a line is given by:
Here m is slope of the line and (x1,y1) is the point from which the line passes.
Given
Slope = m = -3/4
Point = (x1,y1) = (2,-6)
We simply have to put these value into the general form of equation of line in point-slope form
Hence,
The right answer is Option 2:
Answer: There are 152 apples.
The explanation is shown below:
- You need to write the following three equations, where is the the number of apples,
is the number of pears and
is the number of oranges:
1)
2)
3)
- You must substitute the equation 3) into the equation 2):
- Now, you need to solve for in the equation 1) and then you must substitute it into
:
- Solve for , as following:
- Therefore, there are 152 apples.
