Solve x divided by nine is less than or equal to negative three for x. Show your work
x/9 < or = -3
x times 1/9 < or = -3
x< or = -3/1/9
x< or = -27
sorry i don't have the symbols on my keyboad, but i hope this helped
To solve the inequality x/9 ≤ -3, we need to isolate the variable x. Here's how we can do it step-by-step:
Step 1: Multiply both sides of the inequality by 9 to eliminate the fraction:
x/9 * 9 ≤ -3 * 9
This simplifies to:
x ≤ -27
So the solution to the inequality x/9 ≤ -3 is x ≤ -27.
To solve the inequality, x divided by nine is less than or equal to negative three, you can follow these steps:
Step 1: Start by writing the inequality:
x/9 ≤ -3
Step 2: To isolate x, we can multiply both sides of the inequality by 9 (since we're dividing by 9 in the equation):
(x/9) * 9 ≤ (-3) * 9
This simplifies to:
x ≤ -27
Step 3: Therefore, the solution to the inequality is x ≤ -27.
To verify that our answer is correct, let's substitute a value into the original equation. Let's substitute -30 into the inequality:
(-30)/9 ≤ -3
-10/3 ≤ -3
Since -10/3 is not less than or equal to -3, this value is not a valid solution.
Now, let's substitute -28, which is greater than -27:
(-28)/9 ≤ -3
-28/9 ≤ -3
Since -28/9 is less than or equal to -3, this value is a valid solution. So, any value less than or equal to -27 is a solution to the inequality x/9 ≤ -3.