Q58. - Algebra 2

Question

Solve each inequality. Graph the solution set.

$3x-5\ge 4$

Step-by-Step Solution

Answer

The solution set is $\left(x|x\ge 3\right).$

The graph of the inequality is shown below:

Step-1 –Inequality.

An inequality compares two values, showing if one is less than, greater than, or simply not equal to another value.

Step-2 – Isolate the variable.

Given inequality is $3x-5\ge 4.$

$\begin{array}{l}3x-5\ge 4\\ 3x\ge 4+5\end{array}$

Step-3 – Solve the equation.

$\begin{array}{l}3x\ge 9\\ x\ge 3\end{array}$

The solution set is $\left(x|x\ge 3\right).$

Step-4 – Graph for Inequality.

The graph of the inequality is shown below: