Unit 1 Equations And Inequalities Homework 5 Answers (2024)

FAQs

What is the answer to inequalities? ›

Solutions of Inequalities: A solution to an inequality is a value that satisfies the inequality. In other words, it makes the inequality true. Any value that make the inequality false would not be a solution to the inequality. Let's try four example problems to learn how to identify solutions of inequalities.

In a math class, verifying that you arrived at the correct solution is very good practice. We check a solution to an equation by replacing the variable in the equation with the value of the solution. A solution should result in a true statement when simplified.

Solutions of a system of linear inequalities are the values of the variables that make all the inequalities true. The solution of a system of linear inequalities is shown as a shaded region in the x-y coordinate system that includes all the points whose ordered pairs make the inequalities true.

Like systems of equations, system of inequalities can have zero, one, or infinite solutions. If the set of solutions includes any shaded area, then there are indeed an infinite number of solutions.

There are five systems or types of social inequality: wealth inequality, treatment and responsibility inequality, political inequality, life inequality, and membership inequality.

When solving an inequality: • you can add the same quantity to each side • you can subtract the same quantity from each side • you can multiply or divide each side by the same positive quantity If you multiply or divide each side by a negative quantity, the inequality symbol must be reversed. So the solution is x > −1.

If x > y and a > 0, then (x/a) > (y/a) and if x < y and a > 0, then (x/a) < (y/a). On the other hand, the division of both sides of an inequality with a negative number produces an equivalent inequality if the inequality symbol is reversed.

Mathematics. A value or values which, when substituted for a variable in an equation, make the equation true. For example, the solutions to the equation x ² = 4 are 2 and −2.

Know the order of operations.

One of the trickiest things about solving an algebra equation as a beginner is knowing where to start. Luckily, there's a specific order for solving these problems: first do any math operations in parentheses, then do exponents, then multiply, then divide, then add, and finally subtract.

How to check math answers? ›

Plug the solution back into the equation.

This is the simplest way to check that your answer is correct. If you solved for a variable or multiple variables, plug these solutions back into the equation and work backwards to see if they make the equation true. If they do, then the solutions are correct.

A solution of an equation is any value of the variable that satisfies the equality, that is, it makes the Left Hand Side (LHS) and the Right Hand Side (RHS) of the equation the same value. To solve an equation is to find the solution(s) for that equation.

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

When we look at inequalities, we are looking at two expressions that are “inequal” or unequal to each other, as the name suggests. This means that one equation will be larger than the other. The four basic inequalities are: less than, greater than, less than or equal to, and greater than or equal to.

What is inequality. Inequality can be viewed from different perspectives, all of which are related. Most common metric is Income Inequality, which refers to the extent to which income is evenly distributed within a population.

Most of the time, an inequality has more than one or even infinity solutions. For example the inequality: x>3 . The solutions of this inequality are "all numbers strictly greater than 3". The inequality has an infinite amount of solutions.

Answer :- The inequality symbols greater than symbol (>), less than symbol (<), greater than or equal to symbol (≥), less than or equal to symbol (≤), or not equal to symbol (≠) are the five types of inequalities.

With inequalities, we use "less than": < or "greater than": > to exclude the endpoint of the interval. With interval notation, we use use round parentheses, ( or ). With inequalities, we use "less than or equal to": ≤ or "greater than or equal to": ≥ to include the endpoint of the interval.

Equations and inequalities are mathematical sentences formed by relating two expressions to each other. In an equation, the two expressions are supposed to be equal and shown by the symbol =. Whereas in inequality, the two expressions are not necessarily equal and are indicated by the symbols: >, <, ≤ or ≥.