Solving Two steps inequalities

Solving Two steps inequalities

less than
Greater than
PEN CIRCLE – is used for less than greater than and not equal. This means the number is not included in the solution. where it starts
CLOSED CIRCLE – is used for less than or equal to , greater than or equal to and equal to . This means the number is included in the solution. where it starts
Number Line – used for graphing solutions to inequalities

When dividing or multiplying by a negative number flip the sign.

How do we solve two step inequalities?

How do we solve two step inequalities by addition and subtraction?
How do we solve two step inequalities by Multiplication and Division?

To solve a two-step inequality, undo the addition or subtraction first, using inverse operations , and then undo the multiplication or division.

The inverse operation of addition is subtraction and vice versa.

Similarly, the inverse operation of multiplication is division and vice versa.

Note that, whenever you multiply or divide both sides of an inequality by a negative number, reverse the inequality.

Five steps are included to solve one step inequalities:
Step 1: Solving two-Step Inequalities by Addition
step 2: Solving two--Step Inequalities by Subtraction
step 3: two--step inequalities are solved by multiplying both sides of the equation by a number.
step 4: two--step inequalities are solved by dividing the same number into both sides of the equation.
step 5: two--step inequalities are solved by multiplying the reciprocal coefficient of the term with a variable to both sides of the equation.

As with equations, the distributive property can be applied to simplify expressions that are part of an inequality. Once the parentheses have been cleared, solving the inequality will be straightforward.

Inequalities can have a range of answers. The solutions are often graphed on a number line in order to visualize all of the solutions. Multi-step inequalities are solved using the same processes that work for solving equations with one exception. When you multiply or divide both sides of an inequality by a negative number, you must reverse the inequality symbol. The inequality symbols stay the same whenever you add or subtract either positive or negative numbers to both sides of the inequality.

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