Solve x/2 + x/4 <= 15 - 24 | Equatix - Math Solver

Fractions & Decimals

Ratios & Proportions

Basic Number Theory

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

Graphing Trigonometric Functions

Limits & Continuity

Derivatives & Applications

Integrals & Applications

Series & Sequences

Multivariable Calculus

Functions & Graphs

Polynomial & Rational Functions

Exponential & Logarithmic Functions

Sequences & Series

Descriptive Statistics

Normal Distribution

Hypothesis Testing

Regression Analysis

Linear Programming

Sets & Counting

Eigenvalues & Eigenvectors

Linear Transformations

Atomic Structure

Thermochemistry

Example

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

a⋅(b-2)=3b

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

a⋅(b-2)=3b

Question

$$\frac{x}{2}+\frac{x}{4}\le15-24$$

Solve for x

$x\leq -12$

Solution Steps

Multiply both sides of the equation by $4$, the least common multiple of $2,4$. Since $4$ is positive, the inequality direction remains the same.

$$2x+x\leq 60-96$$

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

$$3x\leq 60-96$$

Subtract $96$ from $60$ to get $-36$.

$$3x\leq -36$$

Divide both sides by $3$. Since $3$ is positive, the inequality direction remains the same.

$$x\leq \frac{-36}{3}$$

Divide $-36$ by $3$ to get $-12$.

$$x\leq -12$$