Answer:
x>=4
Step-by-step explanation:
Given the inequality expression
![4x-3\ge13](https://img.qammunity.org/2023/formulas/mathematics/college/tm185egc7gf9dk9k4k6cn4nxpyjyqxlvk2.png)
Add 3 to both sides of the inequality
![\begin{gathered} 4x-3+3\ge13+3 \\ 4x\ge16 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/q8j84v8fl0le1r3a40ud38h0ypol82erwm.png)
Divide both sides by 4
![\begin{gathered} (4x)/(4)\ge(16)/(4) \\ x\ge4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/eaa347kwvxzi7cmtl95r9n8ey306bwmwzf.png)
Represent the solution on a number line;
Note that the circle was shaded because the inequality sign includes the equality sign and the arrow points to the positive side since it is a greater than sign.