Solve 160 < - 8(- 3 + n) | 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

$$160<-8(-3+n)$$

Solve for n

$n<-17$

Solution Steps

Divide both sides by $-8$. Since $-8$ is negative, the inequality direction is changed.

$$\frac{160}{-8}>-3+n$$

Divide $160$ by $-8$ to get $-20$.

$$-20>-3+n$$

Swap sides so that all variable terms are on the left hand side. This changes the sign direction.

$$-3+n<-20$$

Add $3$ to both sides.

$$n<-20+3$$

Add $-20$ and $3$ to get $-17$.

$$n<-17$$