The problem asks us to solve the inequality $b > 9 \div 3$ and graph the solution on a number line.

AlgebraInequalitiesNumber LineGraphing
2025/4/28

1. Problem Description

The problem asks us to solve the inequality b>9÷3b > 9 \div 3 and graph the solution on a number line.

2. Solution Steps

First, we need to simplify the right side of the inequality:
9÷3=39 \div 3 = 3
So the inequality becomes:
b>3b > 3
This inequality means that bb is greater than

3. To graph this on a number line, we need an open circle at 3 (since b is not equal to 3) and an arrow pointing to the right, indicating that all values greater than 3 are solutions to the inequality.

3. Final Answer

The solution is an open circle at 3 with an arrow pointing to the right.

Related problems in "Algebra"

The problem is to solve the equation $\sqrt{x+8} + \sqrt{x+1} = 7$.

Radical EquationsSolving EquationsSquare Roots
2025/4/29

A trader sells yams of three sizes: Big, Medium, and Small. A big yam sells for GH₵12.00, three medi...

Linear EquationsWord ProblemsSystems of EquationsArithmetic
2025/4/29

The problem asks to solve the following equation for $x$: $[5x + (8 + 3x) - 19] - 1 = 1 - [-2x + (7x...

Linear EquationsEquation SolvingSimplification
2025/4/29

The problem gives the equation of a line as $3y = 12x - 6$. We are asked to find the gradient (slope...

Linear EquationsSlopeGradientAlgebraic Manipulation
2025/4/29

The problem asks us to graphically determine the number and solutions of the equation $f(x) = 0$ for...

Quadratic EquationsRoots of EquationsIntervalsQuadratic FormulaFactorization
2025/4/29

The problem asks us to determine the number of solutions and the solutions themselves of the equatio...

Quadratic EquationsRoots of EquationsIntervalsQuadratic FormulaFactorization
2025/4/29

The problem asks us to identify the coefficients $a$, $b$, and $c$ of several quadratic functions in...

Quadratic FunctionsVertex of a ParabolaCoefficients
2025/4/29

The problem asks to find the inverse of the function $f(x) = \frac{3x-1}{2x-6}$.

FunctionsInverse FunctionsAlgebraic Manipulation
2025/4/29

The problem asks us to simplify the expression $3x + 7x$.

SimplificationAlgebraic ExpressionsCombining Like Terms
2025/4/29

The problem provides a function $f(x) = \frac{1}{4} - (x - \frac{3}{2})^2$ and asks to: 1) Develop, ...

Quadratic FunctionsEquation SolvingAbsolute ValueSimplification
2025/4/29