When solving for x in the equation 5.2x-0.01< 0.2x+3.6 Is the answer x <7.32?
no, but close
I multiplied each term by 100
520x - 1 < 20x + 360
500x < 361
x < 361/500
x < .722
okay, but what about a repeating decimal like 0.4444...+ x =1?
Would you use the equation:
10n= 4.4444
n= 0.4444
to equal 4/9 then, 4/9 + x =1
x= 1 - 4/9
x= 2/3 ?
0.4444...+ x =1
4/9 + x = 1
x = 1 - 4/9
x = 9/9 - 4/9
= 5/9
How did you get 2/3 ?????
I didn't change the one to 9/9 to match the other denominator. I used 1/1 and totally missed it! Thanks for pointing that out.
To solve for x in the equation 5.2x - 0.01 < 0.2x + 3.6, you need to isolate x on one side of the inequality. Here's how you can do it step by step:
1. Subtract 0.2x from both sides of the inequality to eliminate the x term on the right-hand side:
5.2x - 0.2x - 0.01 < 0.2x - 0.2x + 3.6
Simplifying this gives:
5x - 0.01 < 3.6
2. Next, add 0.01 to both sides to isolate the variable term:
5x - 0.01 + 0.01 < 3.6 + 0.01
This simplifies to:
5x < 3.61
3. Finally, divide both sides by 5 to solve for x:
(5x)/5 < 3.61/5
The result is:
x < 0.722
Therefore, the answer is x < 0.722, not x < 7.32.