The problem asks to solve the inequality $16 > 2t$ and graph the solution on a number line.

AlgebraInequalitiesNumber LineSolving Inequalities
2025/3/8

1. Problem Description

The problem asks to solve the inequality 16>2t16 > 2t and graph the solution on a number line.

2. Solution Steps

First, we need to solve the inequality 16>2t16 > 2t for tt.
Divide both sides of the inequality by 2:
162>2t2\frac{16}{2} > \frac{2t}{2}
8>t8 > t
This can also be written as t<8t < 8.
Now, we need to graph the solution on the number line. Since tt is strictly less than 8, we will use an open circle at

8. Since $t$ can be any value less than 8, we draw an arrow to the left from the open circle at

8.

3. Final Answer

t<8t < 8

Related problems in "Algebra"

Given that $y = 2x$ and $3^{x+y} = 27$, we need to find the value of $x$.

EquationsExponentsSubstitution
2025/4/5

We are given the equation $\frac{6x+m}{2x^2+7x-15} = \frac{4}{x+5} - \frac{2}{2x-3}$, and we need to...

EquationsRational ExpressionsSolving EquationsSimplificationFactorization
2025/4/5

We are given the equation $\frac{6x+m}{2x^2+7x-15} = \frac{4}{x+5} - \frac{2}{2x-3}$ and we need to ...

EquationsRational ExpressionsSolving for a VariableFactoring
2025/4/5

We are given the equation $\frac{3x+4}{x^2-3x+2} = \frac{A}{x-1} + \frac{B}{x-2}$ and we are asked t...

Partial FractionsAlgebraic ManipulationEquations
2025/4/5

We are given a polynomial $x^3 - 2x^2 + mx + 4$ and told that when it is divided by $x-3$, the remai...

PolynomialsRemainder TheoremAlgebraic Equations
2025/4/5

Given the quadratic equation $4x^2 - 9x - 16 = 0$, where $\alpha$ and $\beta$ are its roots, we need...

Quadratic EquationsRoots of EquationsVieta's Formulas
2025/4/5

The problem defines a binary operation $*$ such that $a * b = a^2 - b^2 + ab$, where $a$ and $b$ are...

Binary OperationsReal NumbersSquare RootsSimplification
2025/4/5

We are given two functions, $f(x) = x + 3$ and $g(x) = x^2 - 1$. We need to find the composite funct...

Function CompositionAlgebraic ManipulationPolynomials
2025/4/5

We are asked to find the value of $x$ in the equation $8^{2x+1} = \frac{1}{512}$.

ExponentsEquationsLogarithmsSolving Equations
2025/4/5

Given the equation $2 \log_y x = 3$, find the relationship between $x$ and $y$.

LogarithmsExponentsEquation Solving
2025/4/5