To find the value of x in the inequality 92x < 9x + 18, we start by isolating x on one side of the inequality. First, we will subtract 9x from both sides:
92x – 9x < 18
This simplifies to:
83x < 18
Next, we’ll divide both sides by 83 to solve for x:
x < rac{18}{83}
Therefore, the solution set for x is any value less than rac{18}{83}. In decimal form, this is approximately 0.216.
In conclusion, any value of x that is less than 0.216 will satisfy the original inequality.