x-5<x/6
To solve this inequality, we need to isolate the variable on one side.
First, let's multiply both sides of the inequality by 6 to get rid of the fraction:
6(x-5) < x
Distribute 6 to both terms inside the parentheses:
6x - 30 < x
Now, let's subtract 6x from both sides to get all the variables on one side:
-30 < x - 6x
Simplifying:
-30 < -5x
Next, divide both sides of the inequality by -5. When dividing by a negative number, the direction of the inequality sign must be reversed:
-30/-5 > x
Simplifying:
6 > x
So, the solution to the inequality is x < 6.
To solve this inequality, we need to isolate the variable x. Here are the steps:
Step 1: Distribute the x/6 on the right side:
x - 5 < x/6
Step 2: Multiply both sides by 6 to eliminate the fraction:
6(x - 5) < x
Step 3: Distribute the 6 on the left side:
6x - 30 < x
Step 4: Move all terms containing x to one side and constant terms to the other side:
6x - x < 30
Step 5: Combine like terms:
5x < 30
Step 6: Divide both sides by 5 to isolate x:
x < 30/5
Simplifying further, we get:
x < 6
So, the solution to the inequality is x < 6.
To solve the inequality x-5<x/6, you need to isolate the variable x. Here's how you can do it:
1. Begin by subtracting x/6 from both sides of the inequality:
x - 5 - x/6 < 0
2. Simplify the expression on the left side:
6x/6 - 5 - x/6 < 0
(6x - 5 - x)/6 < 0
(5x - 5)/6 < 0
3. Next, multiply both sides of the inequality by the denominator (in this case, 6) to eliminate the fraction:
6((5x - 5)/6) < 0 * 6
(5x - 5) < 0
4. Distribute the multiplication on the left side:
5x - 5 < 0
5. Add 5 to both sides of the inequality:
5x - 5 + 5 < 0 + 5
5x < 5
6. Divide both sides by 5 to solve for x:
(5x)/5 < 5/5
x < 1
Therefore, the solution to the inequality x-5<x/6 is x < 1.