Which of the following is not a way to represent the solution of the inequality 2(x − 2) less than or equal to 2?
2 answers:
Answer:
The correct option is 1.
Step-by-step explanation:
The given inequality is
Divide both the sides by 2.
Add 2 on both the sides.
The value of x is than or equal to 3. In other words 3 greater than or equal to x.
Since the sign of inequality is ≤, therefore a number line with a closed circle on 3 and shading to the left represent the above inequality.
Only the statement "A number line with a closed circle on 3 and shading to the right" is not is not a way to represent the solution of the given inequality.
Therefore the correct option is 1.
You might be interested in
To solve this completion exercise you must apply the proccedure shown below:
1. You have the first function:
y=-0.2x²
When you give different values to "x" and plot it as it is shown in the graph attached, you obtain a parabola.
2. Now, you have the second function:
y=x²
When you give different values to "x" and plot it as it is shown in the graph attached, you obtain a parabola.
3. When you see the two graphs attached, you can conclude the the answer is the option D):
D. W<span>ider than and opens in the opposite direction</span><span>
</span>
1. You have the first function:
y=-0.2x²
When you give different values to "x" and plot it as it is shown in the graph attached, you obtain a parabola.
2. Now, you have the second function:
y=x²
When you give different values to "x" and plot it as it is shown in the graph attached, you obtain a parabola.
3. When you see the two graphs attached, you can conclude the the answer is the option D):
D. W<span>ider than and opens in the opposite direction</span><span>
</span>
Answer: OPTION C.
Step-by-step explanation:
Direct variation, by definition, has the form shown below:
y=kx
Where k is the constant of proportionality.
Then if you solve fo y from the given equation, you obtain the following form:
Therefore y varies directly with x².