|4x + 9|> -2
There are two inequalities to be solved.
4x + 9 > -2 and -(4x + 9) > -2
4x + 9 > -2
Subtract 9 from both sides.
4x > -2 - 9
4x > -11
Divide both sides by 4.
x > -11/4
-4x-9 > -2
Add 9 to both sides.
-4x > -2 + 9
-4x > 7
Divide both sides by -4. This will reverse the inequality.
x < -7/4
Solutions for x
x > -11/4
x < -7/4
Since x>-11/4 and x<-7/4 overlap, all values for x are valid answers.
The absolute value of the answer will be greater than the absolute value of the original.
10
A vulgar fraction is one in which the absolute value of the numerator is greater than the absolute value of the denominator.
Yes.
3
greater as the absolute value of -3 is 3
The absolute value of 3 is +3. No negative number can have a value greater than +3.
The absolute value of the answer will be greater than the absolute value of the original.
-1
No. The absolute value of negative nine is greater than the absolute value of 3.
You can think of the absolute value of a number as measuring its distance from zero. 12 is further away than 4 from 0, thus its value is greater.
Positive plus positive is positive. Negative plus negative is negative. Positive plus negative is positive if the absolute value of the positive number is greater than the absolute value of the negative one. Positive plus negative is negative if the absolute value of the negative number is greater than the absolute value of the positive one.
The absolute value of a number IS its distance from zero: not greater nor less than it.
No.
10
It can be a plus or a miuns - depending on which one of the two had a greater absolute value. Also, it will be nearer to zero than the larger of the two magnitudes.
It depends. No matter what, you subtract the two quantities. If the absolute value of the positive integer is greater than the absolute value of the negative integer, your answer is positive. If the absolute value of the negative integer is greater than the absolute value of the positive integer, your answer is negative.For example:-32+11 is -21, because the absolute value of -32 is greater than the absolute value of 11, and 32 is negative.-11+32 is 21, because the absolute value of 32 is greater than the absolute value of 11, and 32 is positive.If this is all confusing, I like to remember a song my seventh grade math teacher taught the class to the tune of "row row row your boat:"same sign add and keepdifferent sign subtractkeep the sign of the larger numberthen you'll be exact!"(the word "sign" refers to negative or positive)