Help me please!! I don’t understand please help it’s due today
2 answers:
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Hey there!
2(x + 1) > 3x - 2
DISTRIBUTE 2 WITHIN the PARENTHESES:
2(x) + 2(1) > 3x - 2
CONVERSION:
2x + 2 > 3x - 2
SUBTRACT 2 to BOTH SIDES:
-x + 2 - 2 > -2 - 2
SIMPLIFY IT!
NEW EQUATION:
-x > -4
CONVERSION 2:
-1x > -4
DIVIDE -1 to BOTH SIDES
-1x/-1 > -4/-1
SIMPLIFY IT!
x < 4
Therefore, your answer is: x < 4
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Answer:
[-3,5]
Step-by-step explanation:
Interval notation is a shorthand way of writing and interval of values. To describe an interval, imagine the two endpoints on the number-line. Then, list the two endpoint values, leftmost point from the number-line first, separated by a comma. Lastly, include the appropriate brackets for each endpoint:
- Only two brackets total will be used for each interval, a bracket to start it, and one bracket to end it.
- If a number is included, a square bracket should be used -- either "[" or "]"
- If the endpoint number is not meant to be included, a 'curved bracket' (which we usually just call a parenthesis) should be used -- either "(" or ")"
For our situation, the two endpoints are -3 and 5. -3 is to the left of 5 on the number-line, so -3 should be listed first
Lastly, the directions say "<u>including</u> -3 <u>and</u> 5", so both endpoints should be included.
- To include the -3 on the left, we'll use "["
- To include the 5 on the right, we'll use "]"
The final result for the interval is