Answer:
The solution to the inequality is:
[tex]\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}[/tex]
The solution graph is also attached below.
Step-by-step explanation:
Given
We are given the expression
[tex]\frac{1}{3}x+5>10[/tex]
To determine
Solve for x
Given the expression
[tex]\frac{1}{3}x+5>10[/tex]
Subtract 5 from both sides
[tex]\frac{1}{3}x+5-5>10-5[/tex]
Simplify
[tex]\frac{1}{3}x>5[/tex]
Multiply both sides by 3
[tex]3\cdot \frac{1}{3}x>5\cdot \:3[/tex]
Simplify
[tex]x>15[/tex]
Thus, we conclude that:
[tex]x>15[/tex]
Therefore, the solution to the inequality is:
[tex]\frac{1}{3}x+5>10\quad :\quad \begin{bmatrix}\mathrm{Solution:}\:&\:x>15\:\\ \:\mathrm{Interval\:Notation:}&\:\left(15,\:\infty \:\right)\end{bmatrix}[/tex]
The solution graph is also attached below.
