MrNeWBiE said:first one ... done ,,,
2.
it's gone be " abs (x-3) ≥ 5 " then solve for it ?
Inequalities are mathematical statements that compare two values or expressions, indicating which one is larger or smaller. They use symbols such as <, >, ≤, and ≥ to show the relationship between the two values.
To solve inequalities, you follow the same steps as solving equations, but with one key difference. When multiplying or dividing by a negative number, you must flip the inequality sign. For example, if you multiply both sides of an inequality by -2, the greater than sign (> ) becomes a less than sign (< ).
An equation is a statement that shows the equality of two expressions, while an inequality shows the relationship between two expressions, indicating which one is larger or smaller. Inequalities use symbols such as <, >, ≤, and ≥, while equations use an equal sign (=).
To graph inequalities, you first plot the boundary line, which is the line that separates the solutions from the non-solutions. The boundary line is either a solid or dotted line, depending on whether the inequality includes or excludes the line. Then, you shade the side of the line that represents the solutions to the inequality.
Inequalities are used in real life to compare and analyze data. For example, they can be used in budgeting to determine if someone's expenses are greater than their income. They are also used in fields such as economics and science to analyze relationships between variables and make predictions based on those relationships.