Solve the inequality. 0.1(0.1x+0.1) _< -0.8
Hint: multiply both sides by 10 and proceed like I showed you in the last one
I got the answer x >_ -81, is that correct?
looking at all those positive numbers on the left, there is no way the inequality sign could have changed.
I am assuming your _ < is ≤ ??
.1(.1x + .1) < -.8
times 10
.1x + .1 ≤ -8
times 10 again
x + 1 < -80
x≤ -81
Thanks Reiny, you assumed correct, how did you get the line under the greater than sign? You are a very smart and kind woman to have been such a great help, Thanks!
I answer most of the questions on a Mac, where I hold down the "option" key as I press the <
There are combinations of key like that on the PC also, I don't have the list handy right now.
BTW, I am an old retired guy, not a woman.
Sorry Mr. Reiny, I guess I should of figured that out since you are so smart at doing the math problems. I do not have an option key on my windows 7 keyboard but I bet there is another way I can do the underline thing. Thanks Again for taking time out of your day to help us Mathematically Challenged students, God Bless You!
To solve the inequality 0.1(0.1x+0.1) ≤ -0.8, we first need to distribute the 0.1 into the parentheses:
0.1 * 0.1x + 0.1 * 0.1 ≤ -0.8
This simplifies to:
0.01x + 0.01 ≤ -0.8
Next, we need to isolate the variable x. Subtracting 0.01 from both sides of the inequality, we get:
0.01x ≤ -0.8 - 0.01
Simplifying further:
0.01x ≤ -0.81
Finally, divide both sides of the inequality by 0.01:
(0.01x) / 0.01 ≤ (-0.81) / 0.01
This yields:
x ≤ -81
Therefore, the solution to the inequality is x ≤ -81.