Answer:
<h2>x = -0.2</h2>
Step-by-step explanation:
![-1(x+5)=3[x+2x-1)]\\\\\text{for}\ -1(x+5):\ \text{distribtutive property}\\\text{for}\ [x+(2x-1)]:\ \text{associative property}\\\\(-1)(x)+(-1)(5)=3[(x+2x)-1]\\-x-5=3(3x-1)\\\\\text{for}\ 3(3x-1):\ \text{distributive property}\\\\-x-5=(3)(3x)+(3)(-1)\\-x-5=9x-3\\\\\text{for the equation}:\ \text{addition property of equality}\\\\-x-5=9x-3\qquad\text{add 5 to both sides}\\-x-5+5=9x-3+5\\-x=9x+2\\\\\text{for the equation:}\ \text{subtraction property of equality}\\\\-x=9x+2\qquad\text{subtract}\ 9x\ \text{from both sides}](https://tex.z-dn.net/?f=-1%28x%2B5%29%3D3%5Bx%2B2x-1%29%5D%5C%5C%5C%5C%5Ctext%7Bfor%7D%5C%20-1%28x%2B5%29%3A%5C%20%5Ctext%7Bdistribtutive%20property%7D%5C%5C%5Ctext%7Bfor%7D%5C%20%5Bx%2B%282x-1%29%5D%3A%5C%20%5Ctext%7Bassociative%20property%7D%5C%5C%5C%5C%28-1%29%28x%29%2B%28-1%29%285%29%3D3%5B%28x%2B2x%29-1%5D%5C%5C-x-5%3D3%283x-1%29%5C%5C%5C%5C%5Ctext%7Bfor%7D%5C%203%283x-1%29%3A%5C%20%5Ctext%7Bdistributive%20property%7D%5C%5C%5C%5C-x-5%3D%283%29%283x%29%2B%283%29%28-1%29%5C%5C-x-5%3D9x-3%5C%5C%5C%5C%5Ctext%7Bfor%20the%20equation%7D%3A%5C%20%5Ctext%7Baddition%20property%20of%20equality%7D%5C%5C%5C%5C-x-5%3D9x-3%5Cqquad%5Ctext%7Badd%205%20to%20both%20sides%7D%5C%5C-x-5%2B5%3D9x-3%2B5%5C%5C-x%3D9x%2B2%5C%5C%5C%5C%5Ctext%7Bfor%20the%20equation%3A%7D%5C%20%5Ctext%7Bsubtraction%20property%20of%20equality%7D%5C%5C%5C%5C-x%3D9x%2B2%5Cqquad%5Ctext%7Bsubtract%7D%5C%209x%5C%20%5Ctext%7Bfrom%20both%20sides%7D)
(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:
brainly.com/question/11613554
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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:
b and d
Step-by-step explanation:
they both have b
Let x = Darlene's dog's weightlet y = Leah's dog's weight x = 5yx + y = 84 so, 5y + y = 84, which means 6y = 84 so, y = 84/6 = 14x = 5(14) = 70 Darlene's dog = 70 lbs, Leah's dog = 14 lbs.<span> </span>
