Which inequalities share some solutions with x > 3?
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a x > 3
b x < 0
c x < 3
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d x > 5
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e x < 3
How do I solve this problem?
is it multiple choice?
Yes it is multiple choice
If so Then he questions asks what share some qualities not all qualities. so you looking for answers where x can be number less than 3 like in the original equation x>3 so then you can say that answers B,D and A are all correct A because it is the same inequality B because can include number 0-2.99999999 which fall in the the original inequality x>3 and D because it also includes numbers less than three
what that who answered is an idiot the answer is A and D
To solve this problem, you need to find the inequalities that have some common solutions or overlap with the inequality x > 3.
First, let's understand what the inequality x > 3 means. It states that x is greater than 3.
Now, let's analyze each option one by one:
a) x > 3: This inequality is the exact same as the given inequality, so it shares all its solutions.
b) x < 0: This inequality implies that x is less than 0, which does not overlap with x > 3. Therefore, it does not share any solutions.
c) x < 3: This inequality implies that x is less than 3. There is an overlap between x < 3 and x > 3 when x is less than 3, so they share some solutions.
d) x > 5: This inequality implies that x is greater than 5, which does not overlap with x > 3. Therefore, it does not share any solutions.
e) x < 3: We have already analyzed this inequality in option c. Again, it implies that x is less than 3, and there is an overlap between x < 3 and x > 3 when x is less than 3, so they share some solutions.
So, the inequalities that share some solutions with x > 3 are a) x > 3, c) x < 3, and e) x < 3.
The problem asks which of the following covers SOME of the solution for the inequality x ≥ 3. The answers are A, C and D.
In letter A, x > 3. They share almost all solutions, but it excludes the number 3.
In letter B, x < 0. Definitely they don't share any solution. Visually, if you draw them in the number line, they won't intersect/overlap.
In letter C, x ≤ 3. The only value they share in their solutions is 3.
In letter D, x ≥ 5. they share solutions starting from 5 to (+)infinity.
In letter E, x < 3. Like in letter B, they don't share any solution.
hope this helps~ `u`