The procedures for solving inequalities are the same as those to solve equations except for the case when an inequality is multiplied or divided on both sides by a negative number. Then the inequality sign is changed from less than to greater than, or greater than to less than.
Lessons for this standard
Resources cannot be aligned to this standard, browse sub-standards to find lessons.
Similar standards in other grades
A one-step linear equation may include, but not be limited to, equations such as the following: 2𝑥 = 5; 𝑦 − 3 = −6; 1/5 𝑥 = −3; 𝑎 − (−4) = 11.
A variety of concrete materials such as colored chips, algebra tiles, or weights on a balance scale may be used to model solving equations in one variable.
Confirm solutions to one-step linear equations in one variable.
A one-step linear inequality may include, but not be limited to, inequalities such as the following: 2 + 𝑥 > 5; 𝑦 − 3 ≤ −6; 𝑎 − (-4) ≥ 11.
The solution to an equation is a value that makes it a true statement. Many equations have one solution and are represented as a point on a number line. Solving an equation or inequality involves a process of determining which value(s) from a specified set, if any, make the equation or inequality a true statement. Substitution can be used to determine whether a given value(s) makes an equation or inequality true.