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|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.
What else can I help you with?
When you multiply a fraction by a number greater than one how does the product compare to the fraction?
The absolute value of the answer will be greater than the absolute value of the original.
What number is 4 greater than the absolute value of -6?
The absolute value of -6 is 6. Therefore, 4 greater than the absolute value of -6 is 6 + 4, which equals 10.
Is -10 greater than -20?
10
What is vulgar fraction?
A vulgar fraction is one in which the absolute value of the numerator is greater than the absolute value of the denominator.
Is the absolute value of -10 greater than 2?
Yes.
Is 7 less than or greater than the absolute value of -3?
greater as the absolute value of -3 is 3
What is a negative integer greater than the absolute value of 3?
The absolute value of 3 is +3. No negative number can have a value greater than +3.
When you multiply a fraction by a number greater than one how does the product compare to the fraction?
The absolute value of the answer will be greater than the absolute value of the original.
Which has greater absolute value -15 or -14?
-1
What number is 4 greater than the absolute value of -6?
The absolute value of -6 is 6. Therefore, 4 greater than the absolute value of -6 is 6 + 4, which equals 10.
Can a absolute value negative number must be less than the absolute value of a positive numbers?
No. The absolute value of negative nine is greater than the absolute value of 3.
Why the absolute value of 12 is greater than the absolute value of 4?
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.
Is the absolute value of -282 greater than or less than 279?
The absolute value of -282 is 282, since absolute value refers to the distance from zero on the number line regardless of direction. Comparing 282 and 279, it is clear that 282 is greater than 279. Therefore, the absolute value of -282 is greater than 279.
What are the rules for adding numbers whose signs are different?
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.
When the farther an integer is from zero is is less or greater than its absolute value?
The absolute value of a number IS its distance from zero: not greater nor less than it.
Does 70 have a greater absolute value than 2970?
No.
Is -10 greater than -20?
10
