4x-5<2x+11

Please get the subject right. We are not interested in what school or grade you attend.

4x-5<2x+11

4x<2x+16
2x<16
2x/2<16/2
x<8

To solve the inequality 4x - 5 < 2x + 11, you can follow these steps:

Step 1: Simplify both sides of the inequality by combining like terms. Subtract 2x from both sides and add 5 to both sides:
4x - 2x - 5 + 5 < 2x - 2x + 11 + 5
2x < 16

Step 2: Divide both sides of the inequality by the coefficient of x. Since the coefficient is 2, you divide by 2:
(2x)/2 < 16/2
x < 8

Therefore, the solution to the inequality 4x - 5 < 2x + 11 is x < 8.