Remember times is multiplication and sum is addition. The symbol for less than is <.
3 * (4+T) < 40
To solve, use distributive property and rearrange.
3*4 + 3T < 40
12 + 3T < 40
3T < 28
T < 28/3*
*Brainliest answer is always appreciated
Answer:
Step-by-step explanation:
two ways of representing a relationship between quantities.
Solution :
![x = \frac{4 + \sqrt{43} }{2} .x = 4 + \frac{4 - \sqrt{43} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%20%5Cfrac%7B4%20%2B%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20.x%20%3D%204%20%2B%20%20%20%5Cfrac%7B4%20-%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20)
<h2>
Step-by-step explanation:</h2>
![\frac{1}{(x - 5)} + \frac{3}{(x - 2)} - 4](https://tex.z-dn.net/?f=%20%5Cfrac%7B1%7D%7B%28x%20%20-%205%29%7D%20%20%2B%20%20%5Cfrac%7B3%7D%7B%28x%20-%202%29%7D%20%20-%204)
<h2 /><h2>1. Multiply by LCM</h2>
![x = 2 + 3( x - 5) = 4 - (x - 5)(x + 2)](https://tex.z-dn.net/?f=x%20%3D%202%20%2B%203%28%20x%20-%205%29%20%3D%204%20-%20%28x%20-%205%29%28x%20%2B%202%29)
<h2>2. Solve</h2><h2>
![x = 2 + 3(x - 5) = 4 (x - 5)(x + 2)](https://tex.z-dn.net/?f=x%20%3D%202%20%2B%203%28x%20-%205%29%20%3D%204%20%28x%20-%205%29%28x%20%20%2B%202%29)
</h2>
<h3>
![x = \frac{4 + \sqrt{43} }{2} .x = 4 + \frac{4 - \sqrt{43} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%20%5Cfrac%7B4%20%2B%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20.x%20%3D%204%20%2B%20%20%20%5Cfrac%7B4%20-%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20)
</h3><h2>3.Verify Solutions</h2>
<h3>Find undefined (singularity) points : </h3><h3>x=5,x=–2</h3>
![x = \frac{4 + \sqrt{43} }{2} .x = 4 + \frac{4 - \sqrt{43} }{2}](https://tex.z-dn.net/?f=x%20%3D%20%20%20%5Cfrac%7B4%20%2B%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20.x%20%3D%204%20%2B%20%20%20%5Cfrac%7B4%20-%20%20%5Csqrt%7B43%7D%20%7D%7B2%7D%20)
Answer:
let that man's age be x :
![300 - 3x = 6](https://tex.z-dn.net/?f=300%20-%203x%20%3D%206)
subtract 300 from both sides:
![(300 - 3x) - 300 = 6 - 300 \\ - 3x = - 294](https://tex.z-dn.net/?f=%28300%20-%203x%29%20-%20300%20%3D%206%20-%20300%20%5C%5C%20%20-%203x%20%3D%20%20-%20294)
apply the division rule of equality:
![\frac{ - 3x}{ - 3} = \frac{ - 294}{ - 3} \\ \\ x = 98](https://tex.z-dn.net/?f=%20%5Cfrac%7B%20-%203x%7D%7B%20-%203%7D%20%20%3D%20%20%5Cfrac%7B%20-%20294%7D%7B%20-%203%7D%20%20%5C%5C%20%20%5C%5C%20x%20%3D%2098)
<u>The</u><u> </u><u>man</u><u> </u><u>is</u><u> </u><u>9</u><u>8</u><u> </u><u>years</u><u> </u>