What is the graph of the inequality
2 answers:
Answer:
Graph represented by option B is the correct choice.
Step-by-step explanation:
We have been given an inequality . We are asked to find the graph of the given inequality.
Our given inequality tells that solution is any value of x less than or equal to 5.
Since our given inequality has less than or equal to sign, then the number line will have a solid dot at .
Since the values of x are less than or equal to 5, so the solution of the inequality will be numbers less than 5.
Since the numbers on the left side of a number line are less than number on right side, therefore, the graph represented by option B is the correct choice.
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Answer:
Incorrect
Step-by-step explanation:
We are given the equation:
Add both sides by 9.
When we want to tell if the absolute equation has solutions or not, we have to simplify in this form first: or isolate the absolute sign.
If c ≥ 0, the equation has solutions.
If c < 0, the equation does not have solutions.
Therefore, it does not always matter if the constant on right side is in negative because if there is a number on the left side then there is a chance that the equation has solutions.
From |3x+8| = 4 is equivalent |3x+8|-9=-5 and the right side is 4 which is positive.
Hence, the equation does have a solution!