The solution is {-8, 3} but I’m not sure how to graph it on a line, is it A B C or D?
1 answer:
Answer:
-8 < x< 3
Step-by-step explanation:
|2x+5| <11
there are two solutions, one positive and one negative ( remember to flip the inequality for the negative)
2x+5 <11 and 2x+5 > -11
Subtract 5 from each side
2x+5-5 < 11-5 and 2x+5-5 > -11-5
2x< 6 and 2x>-16
Divide by 2
2x/2 <6/2 and 2x/2 >-16/2
x <3 and x>-8
-8 < x< 3
x is less than 3 and x is greater than -8
open circles and -8 and 3 and a line between
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The answer is 8
Here's why:
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Since we have the power of -1 on the 3, we apply this rule:
Also this rule because we have the power of 1 on the 6:
Then we get this:
We apply the rule:
We get this:
Here's why:
The exponents are subtracted one from another when divided.
We can look at the problem this way:
Since we have the power of -1 on the 3, we apply this rule:
Also this rule because we have the power of 1 on the 6:
Then we get this:
We apply the rule:
We get this: