How to solve 3(x-1) > x+2

1. Factor the equation (x + 2)(x + 3) = 0. 2. Set each factor equal to zero: x + 2 = 0 and x + 3 = 0. 3. Solve for x: x = -2 and x = -3.

Solve 3(x-1) > x+2 | Equatix

Integers & Absolute Values

Factors & Multiples

Prime Factorization

Basic Equations & Inequalities

Coordinate Plane & Graphing

Linear Equations & Inequalities

Quadratic Equations

Polynomials & Factoring

Functions & Graphs

Systems of Equations

Trigonometric Functions

Trigonometric Identities & Equations

Right Triangle Trigonometry

Unit Circle

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Conic Sections

Sequences & Series

Descriptive Statistics

Eigenvalues & Eigenvectors

Linear Transformations

Example

3(r+2s)=2t-4

a⋅(b-2)=3b

3(r+2s)=2t-4

a⋅(b-2)=3b

Question

$$3(x-1) > x+2$$

Solve for x

$x>\frac{5}{2}$

Solution Steps

Use the distributive property to multiply $3$ by $x-1$.

$$3x-3>x+2$$

Subtract $x$ from both sides.

$$3x-3-x>2$$

Combine $3x$ and $-x$ to get $2x$.

$$2x-3>2$$

Add $3$ to both sides.

$$2x>2+3$$

Add $2$ and $3$ to get $5$.

$$2x>5$$

Divide both sides by $2$. Since $2$ is positive, the inequality direction remains the same.

$$x>\frac{5}{2}$$

Show Solution

Basic Math

Pre-Algebra

Algebra

Trigonometry

Calculus

Precalculus

Statistics

Finite Math

Linear Algebra

Chemistry

Example

Question

Solve for x

Solution Steps