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