Please help me answer this
1 answer:
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Answer:
A.
Step-by-step explanation:
Given:
The inequality is given as:
Now, consider the first inequality
Here, 'x' is less than or equal to -4. The values that are less than -4 are -5, -6, -7... so on. The inequality used is 'less than or equal to'. This means that -4 is included in the solution. So, we use a square bracket (closed interval) at the other end.
The inequality in notation form is thus,
Now, consider the other inequality
The values of 'x' are greater than 2. The values that are greater than 2 are 3, 4, 5... and so on. Also, 2 is not included in the solution. So, we use open interval on either side.
Therefore, in interval notation form is
There is a conjunction 'or' used in the inequality. Therefore, the answer is:
A.
The graph on the number line is shown below.
