Solving a multi-step inequality with variables on both sides

👉 Learn how to solve multi-step linear inequalities having no parenthesis. An inequality is a statement in which one value is not equal to the other value. An inequality is linear when the highest exponent in its variable(s) is 1. (i.e. there is no exponent in its variable(s)). A multi-step linear inequality is an inequality in which multiple steps of operations are to be performed to obtain the solution(s).

To solve a linear inequality with no parenthesis, we first use inverse operations (addition/subtraction) to combine like terms and then, we also use inverse operations (multiplication/division) to isolate the variable. (recall that multiplication/division with a negative number changes the orientation of the inequality sign).

Organized Videos:
✅Solve One-Variable Inequalities
✅Solve and Graph Inequalities | Learn About
✅Solve and Graph Inequalities | One-Step
✅Solve and Graph Inequalities | Two-Step
✅Solve and Graph Inequalities | Multi-Step With Parenthesis
✅Solve and Graph Inequalities | Multi-Step Without Parenthesis
✅Write the Inequality from the Graph | One-Variable

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[tabriztabrizli]

there is a fault sir, when you want to get ride of the _p you have to divided by positive 1 not negative. In addition when you divided by negative you must change the sign but here is positive 1.

[Turtle-skgv]

How would you solve 3x-2(x+1)greater than or equal to (x+1)-2(x+1)?

[caley]

I thought if you divide or multiply a negative number you have to switch the symbol