Question

May you help me with this question please

Answer 1

Option C

Explanation:

We are given the inequality 2x - 8 < 12,

`2x - 8 < 12,\\2x < 20,\\x < 10\\\\Conclusion - Option C`

As you can tell, for the first step we added 8 on either side of the inequality sign, resulting with the cancelation of 8, and the addition of 8 and 20. Dividing 2 on either side of this simplified inequality, we resulted in x < 10. Note that if we were to divide by a negative value, this less than sign would be taken as a greater than sign ( same rule applies for the multiplication of a negative number ).

Solution ⇒ Option C

Answer 2

C. x < 10

Explanation:

2x - 8 < 12

Add 8 to both sides

2x < 20

Divide both sides by 2

x < 10