start by giving the number a variable
number = x
now continue by writing the left part of the inequality multiplying by -4
![-4\cdot x](https://img.qammunity.org/2023/formulas/mathematics/high-school/1huulifbmi434eay4z3gq81gnmywx4y7h0.png)
remember that when writing <,> , they are always pointing to the smaller one.
Continue by completing the right side
![-4\cdot x\leq16](https://img.qammunity.org/2023/formulas/mathematics/high-school/j0mtyd2m5nn5c3y92bsi8aua7ytyy7vq5o.png)
Simplify by dividing by -4 on each side
![\begin{gathered} -4\cdot x\leq16 \\ -(4)/(-4)\cdot x\leq(16)/(-4) \\ x\leq-4 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/high-school/4o090bcicw9kelultyxgx95knz9elbc3t7.png)
answer:
In order to fulfill the inequality x must be less than or equal to -4-
REMEMBER
When the exercise says
Less than we use symbol
![<](https://img.qammunity.org/2023/formulas/mathematics/high-school/4mlu2o3p8o4dac2u3bx3ovusv5n9htmyz8.png)
Less than or equal to we use the symbol
![\leq](https://img.qammunity.org/2023/formulas/mathematics/high-school/534vg1vqv4fhhw6w59vmsa70rptfb102u9.png)
Greater than we use the symbol
![>](https://img.qammunity.org/2023/formulas/mathematics/high-school/vm72or96lunevnyq4e7eu9t9xn5rhq58mw.png)
Greater than or equal to we use the symbol
![\ge](https://img.qammunity.org/2023/formulas/mathematics/college/u72f7jtigrjmrfnsppkmtzy4ss3lnzs11f.png)