-2/3x + 3<11
how do i solve this equation
Subtract 3 from both sides.
Then, multiply both sides by -(3/2) to get x alone. But whenever you have and inequality and multiply or divide by negative number, make sure to CHANGE THE DIRECTION OF THE INEQUALITY.
To solve this inequality, we can follow these steps:
1. Start with the inequality: -2/3x + 3 < 11.
2. Subtract 3 from both sides to isolate -2/3x: -2/3x < 11 - 3.
3. Simplify: -2/3x < 8.
4. To get x alone, we need to multiply both sides of the inequality by the reciprocal of -2/3, which is -3/2. However, when multiplying or dividing an inequality by a negative number, we need to change the direction of the inequality sign.
So, we multiply both sides of the inequality by -(3/2), and remember to change the direction of the inequality symbol: (-2/3x) * -(3/2) > 8 * -(3/2).
5. Simplify: x > -12.
Therefore, the solution to the inequality -2/3x + 3 < 11 is x > -12.