Answer: x > -24
Explanation:
To solve for x, we will isolate the variable. To do this, we will use inverse operations.
Given:
![\displaystyle (-x)/(12) +13 < 15](https://img.qammunity.org/2023/formulas/mathematics/college/zn07fugkqwbkf40p084c2b8t8rgz1ru5a2.png)
Subtract 13 from both sides of the equation:
![\displaystyle (-x)/(12) < 2](https://img.qammunity.org/2023/formulas/mathematics/college/ub1iuxn4uqpzwtqynlcnq1fybcennph0xc.png)
Multiply both sides of the equation by 12:
![-x < 24](https://img.qammunity.org/2023/formulas/mathematics/college/tk7nacdva85exm825k1aj6y72lqn46ooxf.png)
Divide both sides of the equation by -1:
Since we are dividing by a negative, we "flip" the direction of the sign.
![x > -24](https://img.qammunity.org/2023/formulas/mathematics/college/et03yj18yqw61cacfvij7yfp6zb6wmpsua.png)