To reflect the new spending limit, we subtract the additional $300 from both sides of the inequality: x - 300 <= 500 - 300 Simplifying the equation: x - 300 <= 200 Now we can solve for x by isolating the variable: x <= 200 + 300 x <= 500
The new spending limit is x ≤ 500.
To solve the inequality x - 300 <= 500 - 300, we can start by subtracting 300 from both sides of the inequality to get rid of the constant term on the left side:
x - 300 <= 200
Next, we can simplify the equation by combining like terms:
x <= 200
Now, to isolate the variable x, we can add 300 to both sides of the inequality:
x + 300 <= 200 + 300
Simplifying further:
x + 300 <= 500
So, the solution to the inequality is x <= 500. This means that any value of x that is less than or equal to 500 will satisfy the original inequality.
To solve the inequality x - 300 <= 500 - 300 step-by-step, follow these steps:
1. Subtract 300 from both sides of the inequality:
x - 300 <= 200
2. Simplify the equation:
x <= 200
3. The final solution is x <= 200, which means that the variable x is less than or equal to 200.