Respuesta :

Answer:

1)for x > 3  statement (1) is true.

2) for y < 8  statement (2) is true.

Step-by-step explanation:

 Given : two sentences.

1) [tex]\frac{x}{3} \times 11>11[/tex]

2) [tex]5\times\frac{y}{8}<5[/tex]

We have to find for what values of x and y the statement are true.

Consider

1)  [tex]\frac{x}{3} \times 11>11[/tex]

We solve for x ,

Divide both side by 11, we get,

[tex]\frac{x}{3}>1[/tex]

Now, multiply both side by 3, we get,

[tex]x>3[/tex]

Thus, for x > 3  statement (1) is true.

2) [tex]5\times\frac{y}{8}<5[/tex]

Here, we solve for y ,

Divide both side by 5, we get,

[tex]\frac{y}{8}<1[/tex]

Now, multiply both side by 8, we get,

[tex]y<8[/tex]

Thus, for y < 8  statement (2) is true.