(B) –9 < x – 4 < 9 inequality is equivalent to Ix-4I <9.
<h3>
What is inequality?</h3>
- Inequality is a statement of an order relationship between two numbers or algebraic expressions (greater than, greater than, or equal to, less than, or less than or equal to).
- Inequality is defined as a difference in size, amount, quality, social position, or another factor.
- Inequality occurs when you have ten of something and someone else has none.
- (mathematics) A statement stating that one quantity is less than (greater than) another.
So, Ix-4I <9:
- |x-4|<9 ⇒ -9 < x-4 < 9
- -5 < x < 13
Therefore, (B) –9 < x – 4 < 9 inequality is equivalent.
Know more about inequality here:
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The complete question is given below:
Which inequality is equivalent to I x-4 I <9?
A –9 > x – 4 < 9
B –9 < x – 4 < 9
C x – 4 < –9 or x – 4 < 9
D x – 4 > –9 or x – 4 < 9
Answer:
21cm, 12cm
Step-by-step explanation:
width=x cm
length=2x-3 cm
area= 252cm²
l*b= 252 cm²
(2x-3)(x)=252
2x²-3x= 252
this is how I did it
we need to find the nearest square of the number (it should be lesser than the area)
that is 225, whose square root is 15.
since there is a coefficient to the x², the value of x would be calculate like this 15- (2+1)= 15-3 = 12
x= 12
we can verify it too,
2*(12)² - 3*12=252
288-36=252
252=252
therefore width is 12 cm and width is 2*12-3= 24-3= 21 cm
verify;
21*12= 252
252=252
hence the dimensions are 12 am (width) and 21 cm(length).
Answer:
<em>Her new hourly wage will be $13.80 after the raise</em>
Step-by-step explanation:
<u>Percentages</u>
Noelle currently earns $12 per hour.
Her hourly wage will increase by 15% by next month.
The increase will be of:
15% of $12 = 15*12/100 = $1.80
Thus, her new hourly wage will be
$12 + $1.80 = $13.80
Her new hourly wage will be $13.80 after the raise
Answer:
vitamin c is the independent variable
Step-by-step explanation:
the amount of vitaman c dose not change but the amount of oranges eaten can change