Solve addition inequalities

1 answer

To solve addition inequalities, follow these steps:

1. Isolate the variable on one side of the inequality.
If there are any constants or other terms on that side, move them to the other side.

2. Simplify both sides of the inequality if necessary.
Combine like terms and perform any necessary operations.

3. Determine the value or range of values for the variable that satisfy the inequality.
Express the solution using interval notation or as a set of numbers.

For example, let's solve the inequality: 2x + 3 > 7

1. Isolate the variable:
2x > 7 - 3
2x > 4

2. Simplify both sides:
x > 2

3. Determine the solution:
The solution is x > 2. This means that any value of x greater than 2 satisfies the inequality. The solution can be expressed as the interval (2, ∞) or as the set of numbers {x | x > 2}.
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