A number is greater than 8. The same number is less than 10. The inequalities x greater-than 8 and x less-than 10 represent the situation. Which best explains the number of possible solutions to the inequality?

And the other inequality is:

If we use the two conditions we have :

If we use only integers the only possible solution is x =9 and if x is a real number the solution can be infinite numbers between 8 and 9

Step-by-step explanation:

For this case we define the number of interest as x and we have:

And the other inequality is:

If we use the two conditions we have :

If we use only integers the only possible solution is x =9 and if x is a real number the solution can be infinite numbers between 8 and 9

option a, c,d are correct.

step-by-step explanation:

from the given figure, it is given that z is equidistant from the sides of the triangle rst, then from triangle tzb and triangle szb, we have

tz=sz(given)

bz=zb(common)

therefore, by rhs rule,δtzb ≅δszb

by cpctc, sz≅tz

also, from δctz and δasz,

tz=sz(given)

∠tcz=∠saz(90°)

by rhs rule, δctz ≅ δasz, therefore by cpctc, ∠ctz≅∠asz

also,from δasz and δzsb,

zs=sz(common)

∠zbs=∠saz=90°

by rhs rule, δasz ≅δzsb, therefore, by cpctc, ∠asz≅∠zsb

hence, option a, c,d are correct.

they are simplified

step-by-step explanation: