Respuesta :

Luv2Teach

Answer:

The first choice is the one you want

Step-by-step explanation:

Solve the inequalities one at a time:

[tex]\frac{2}{3}x>8[/tex]

Multiply both sides by 3:

2x > 24 and

x > 12

For the next one:

[tex]\frac{2}{3}x <4[/tex]

Again, multiply both sides by 3:

2x < 12 and

x < 6

So the solution set is {x I x > 12 or x < 6}

The solution to the inequality [tex]\rm \dfrac{2}{3}x > 8[/tex] is x > 12.

What is inequality?

In Mathematics, the relationship between two values that are not equal is defined by inequalities.

The given inequality is;

[tex]\rm \dfrac{2}{3}x > 8[/tex]

The solution to the inequality is determined in the following steps given below.

[tex]\rm \dfrac{2}{3}x > 8\\\\\rm \dfrac{2}{3}x \times 3 > 8 \times 3\\\\\rm 2x > 24\\\\\dfrac{2x}{2} > \dfrac{24}{2}\\\\x > 12[/tex]

Hence, the solution to the inequality [tex]\rm \dfrac{2}{3}x > 8[/tex] is x > 12.

Learn more about inequality here;

https://brainly.com/question/4459260

#SPJ2

Otras preguntas

Q&A Education