-2x+9<=3x=10

1 answer

It looks like you may have a typo in the inequality. It seems you meant to use "<=" for one part of the expression, but the "=", after "3x", suggests a separate equation. Let's break it down:

If you intended to solve the inequality \(-2x + 9 \leq 3x + 10\), we can solve it as follows:

  1. Start with the inequality: \[ -2x + 9 \leq 3x + 10 \]

  2. Move the \(3x\) term to the left side by subtracting \(3x\) from both sides: \[ -2x - 3x + 9 \leq 10 \] This simplifies to: \[ -5x + 9 \leq 10 \]

  3. Now, move the \(9\) to the right side by subtracting \(9\) from both sides: \[ -5x \leq 10 - 9 \] This simplifies to: \[ -5x \leq 1 \]

  4. Finally, divide both sides by \(-5\). Remember that when you divide by a negative number, the inequality sign flips: \[ x \geq -\frac{1}{5} \]

So the solution to the inequality is: \[ x \geq -\frac{1}{5} \]

If this is not what you were looking for, please clarify your equation or inequality!