Solving Algebraic Inequalities: Techniques And Examples For Real-World Applications

Algebraic inequality

It uses the inequality symbols instead of an equal; its algebraic because it has a variable 2y-5>14

An algebraic inequality is a statement that compares two algebraic expressions using an inequality symbol such as < (less than), > (greater than), ≤ (less than or equal to), or ≥ (greater than or equal to). These inequalities can include variables, constants, and coefficients.

For example, the inequality 2x + 5 < 10 can be read as the expression 2x + 5 is less than 10. To solve this inequality, we need to isolate the variable on one side of the inequality symbol. First, we'll subtract 5 from both sides: 2x + 5 - 5 < 10 - 5 2x < 5 Now, we'll divide both sides by 2 to isolate x: 2x/2 < 5/2 x < 2.5 This means that any value of x less than 2.5 will make the inequality 2x + 5 < 10 true. Algebraic inequalities are used in many fields, such as engineering, economics, and physics, to represent real-world situations where there is a range of possible values for variables.

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