The problem asks us to solve the inequality $n + 18 \le 24$ and graph the solution on a number line.

AlgebraInequalitiesNumber LineLinear Inequalities
2025/3/8

1. Problem Description

The problem asks us to solve the inequality n+1824n + 18 \le 24 and graph the solution on a number line.

2. Solution Steps

First, we need to isolate the variable nn in the inequality. To do this, we subtract 18 from both sides of the inequality:
n+18182418n + 18 - 18 \le 24 - 18
n6n \le 6
This means that nn can be any number less than or equal to
6.
Now, we graph the solution on a number line. We put a closed circle at 6 to indicate that 6 is included in the solution. Then we draw an arrow to the left, indicating that all numbers less than 6 are also included.

3. Final Answer

n6n \le 6

Related problems in "Algebra"

The problem states that $P = \begin{pmatrix} 1 \\ 2 \end{pmatrix}$, $T = \begin{pmatrix} -3 \\ 1 \en...

VectorsMatrix OperationsVector Components
2025/6/24

We are given two matrices $P = \begin{pmatrix} 1 \\ 2 \end{pmatrix}$ and $T = \begin{pmatrix} -3 \\ ...

Matrix MultiplicationLinear TransformationsVectors
2025/6/24

The problem gives a function $f(x) = \cos^2 x + 2\sqrt{3} \cos x \sin x + 3\sin^2 x$. We need to: (9...

TrigonometryTrigonometric IdentitiesDouble Angle FormulasFinding Maximum and Minimum
2025/6/24

We are given two functions $f(x) = \frac{2x+7}{7}$ and $g(x) = \frac{3x-6}{6}$. We need to find $g(6...

FunctionsInverse FunctionsFunction Evaluation
2025/6/24

The problem asks to factor the quadratic expression $2x^2 - x - 15$.

Quadratic EquationsFactorizationAlgebraic Manipulation
2025/6/24

We are asked to evaluate $x^{\frac{1}{2}} = 4$. This means we need to find the value of $x$ that sat...

EquationsExponentsSquare RootsSolving Equations
2025/6/24

The problem is to solve the equation $x^2 = 3x$.

Quadratic EquationsSolving EquationsFactoring
2025/6/24

The problem asks to simplify the expression $3(x + 5) - x(x - 2)$.

Algebraic ExpressionsSimplificationPolynomials
2025/6/24

We are given 5 problems: 1. Simplify the expression $3(x+5) - x(x-2)$.

Algebraic SimplificationQuadratic EquationsSolving EquationsFactorizationFunctionsInverse Functions
2025/6/24

The problem consists of five questions. 1. Simplify $3(x+5) - x(x-2)$.

Algebraic SimplificationQuadratic EquationsSolving EquationsFactorizationFunction EvaluationInverse Functions
2025/6/24