# At what x the inequality 2x + 5 is less than 5x-7.

Let us solve a linear inequality with one variable using identical transformations and at the same time carefully follow the sign of the inequality

2x + 5 <5x – 7;

We transfer the terms without a variable to the right-hand side of the inequality, and to the left-hand side containing the variable x.

When transferring terms from one side of the equation to another, we change the sign of the term to the opposite.

2x – 5x <- 7 – 5;

Here are similar ones:

– 3x <- 12;

We divide by – 3 both sides of the inequality, while the sign of the inequality is changed to the opposite.

x> 4.

Answer: x belongs to the interval (4; + infinity).

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