Question

3. Solve the inequality and graph the solutions. -5x < 15

Answer 1

Answer:

$\boxed{{x} > -3}$

Step-by-step explanation:

Given inequality:

• $-5x < 15$

To solve this inequality, we need to isolate the variable on one side and the constant on the other. To do this, we can divide both sides by -5.

$\rightarrowtail -5x < 15$

$\rightarrowtail \dfrac{-5x}{-5} < \dfrac{15}{-5}$

$\rightarrowtail x < \dfrac{15}{-5}$

Note: If we are dividing both sides by a negative integer, the sign changes.

$\rightarrowtail {x} > \dfrac{15}{-5}$

To simplify 15/-5, we can multiply -1 to the numerators and the denominators. As a result, the negative sign should transfer to the numerator, as when two negative integers multiply each other, the result is a positive integer.

$\rightarrowtail {x} > \dfrac{15}{-5} \times \dfrac{-1}{-1}$

$\rightarrowtail {x} > \dfrac{-15}{5}$

$\rightarrowtail \boxed{{x} > -3}$

Graph:

Answer 2

$\huge\text{Hey there!}$

$\mathsf{-5x < 15}\\\\\large\text{DIVIDE -5 to BOTH SIDES}\\\\\mathsf{\dfrac{-5x}{-5} < \dfrac{15}{-5}}\\\\\large\text{SIMPLIFY IT!}\\\\\mathsf{x > -3}\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x > -3}}}\huge\checkmark$

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$