Answer: THIRD OPTION.
Step-by-step explanation:
Given the following inequality:
[tex]3(x-5)\geq 6[/tex]
You can follow these steps in order to solve it:
1. Apply Distributive property on the left side:
[tex]3(x-5)\geq 6\\\\(3)(x)+(3)(-5)\geq 6\\\\3x-15\geq 6[/tex]
2. Add 15 to both sides of the inequality:
[tex]3x-15+(15)\geq 6+(15)\\\\3x\geq 21[/tex]
3. Finally, divide both sides of the inequality by 3:
[tex]\frac{3x}{3}\geq \frac{21}{3}\\\\x\geq 7[/tex]
The symbol is [tex]\geq[/tex] means "Greater than or equal to", and indicates that 7 is include in the solution.
Therefore, the solution can be expressed as:
[tex][7, \infty)[/tex]
Now you must mark this point with a closed dot on the number line and shade everything to the right.
