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.