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.

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.

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.

In an equation, the two expressions are deemed equal which is shown by the symbol =. Where as in an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥. An equation or an inequality that contains at least one variable is called an open sentence.

To find the solution set of an equation with a given domain, you first need to plug each value in the domain into the equation to get the respective range values. Create ordered pairs from these values and write them as a set. That set is your answer!

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.

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.

This question may be split into parts, as follows: Firstly, if a = 5, then a² = 5² = 5 x 5 = 25.

What is the answer for equation? ›

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.

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.

One easy way of solving such inequalities is to multiply every term on both sides by the LCD of all denominators so that all fractions become integers. For example, to solve (1/2) x + 1 > (3/4) x + 2, multiply both sides by 4. Then we get 2x + 4 > 3x + 8 ⇒ -x > 4 ⇒ x < -4.

≤: "less than or equal to" <: "less than" ≠: "not equal to" >: "greater than" ≥: "greater than or equal to"