A two-step inequality is a mathematical expression that involves two operations to isolate the variable. Typically, it includes an inequality sign (such as <, >, ≤, or ≥) and requires performing two steps to solve for the variable. For example, in the inequality (2x + 3 > 7), one would first subtract 3 from both sides and then divide by 2 to find the solution for (x). This type of inequality is commonly used in algebra to represent a range of possible values.
When multiplying or dividing a negative number or variable.
To solve multi-step inequality word problems, start by carefully reading the problem to identify the variable, the inequality relationship, and any constants involved. Next, translate the written expressions into mathematical inequalities. Then, isolate the variable by performing inverse operations, ensuring to reverse the inequality sign when multiplying or dividing by a negative number. Finally, express the solution in interval notation or graph it on a number line, as needed, to convey the range of values that satisfy the inequality.
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
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A two-step inequality is a mathematical expression that involves two operations to isolate the variable. Typically, it includes an inequality sign (such as <, >, ≤, or ≥) and requires performing two steps to solve for the variable. For example, in the inequality (2x + 3 > 7), one would first subtract 3 from both sides and then divide by 2 to find the solution for (x). This type of inequality is commonly used in algebra to represent a range of possible values.
yes ... and so?
This isn't an inequality, but a mathematical "expression". In order to have an inequality that can be solved, there must be an inequality symbol between two mathematical expressions. Nancy
When multiplying or dividing a negative number or variable.
To solve multi-step inequality word problems, start by carefully reading the problem to identify the variable, the inequality relationship, and any constants involved. Next, translate the written expressions into mathematical inequalities. Then, isolate the variable by performing inverse operations, ensuring to reverse the inequality sign when multiplying or dividing by a negative number. Finally, express the solution in interval notation or graph it on a number line, as needed, to convey the range of values that satisfy the inequality.
Equations can be tricky, and solving two step equations is an important step beyond solving equations in one step. Solving two-step equations will help introduce students to solving equations in multiple steps, a skill necessary in Algebra I and II. To solve these types of equations, we use additive and multiplicative inverses to isolate and solve for the variable. Solving Two Step Equations Involving Fractions This video explains how to solve two step equations involving fractions.
To write and solve an absolute value inequality, start by expressing the inequality in the form |x| < a or |x| > a, where a is a positive number. For |x| < a, split it into two inequalities: -a < x < a. For |x| > a, split it into two separate inequalities: x < -a or x > a. Finally, solve each inequality to find the solution set and represent it using interval notation or a number line.
This is not an inequality. There is no <,>, or = sign.
No, because it is not an equation (or inequality), but simply two expressions separated by a space.
Solve the inequality and enter your solution as an inequality comparing the variable to the solution. -33+x<-33
Unless it's a fancy graphing calculator, you don't. When solving an inequality, you need to solve it as an equality, remaining mindful of the proper direction of the inequality symbol after each step.
Multi-step inequalities can be solved in the same manner as multi-step equations.Follow these steps in solving a multi-step inequality: Remove all grouping symbols.Combine like terms on each side of the inequality.Use the addition property of inequality to get the variable term on one side and constant on the other.Use the multiplication property of inequality to make the coefficient on the variable 1.Check your answer.It is impossible to check every answer of an inequality because the solution set is infinite, but you can test some of the elements in the solution set.