Rewrite this single inequality as two inequalities with AND connector. -6 < x < 12 x > -6 and x < 12 x > 12 and x > -6 x < -6 and x > 12

The single inequality -6 < x < 12, can be written as two inequalities thus

x > -6 and x < 12

Step-by-step explanation:

For the single inequality  -6 < x < 12,

To write the single inequality as two inequalities, first we will separate it into two as

-6 < x and x < 12

-6 is less than x means x is greater than -6, Hence, -6 < x can be written as

x > -6.

∴-6 < x and x < 12 becomes

x > -6 and x < 12

Hence, the single inequality -6 < x < 12, can be written as two inequalities thus

x > -6 and x < 12

Therefore, the correct option is the first one

x > -6 and x < 12

answer for #1 is c

answer for #2 is d

can i get brainliest

step-by-step explanation: so we look at the formula un = a + (n-1)d

un is the amount of seats

n is the nth term aka row number

a is the original sequence/row number

d is the difference between each term

so in this a=22 d=6 and n can remain as n because we are simply formjng a rule

lets put these in the equation

un=22+(n-1)(6)

this is your answer to part a

however

lets double check that this is correct, we'll try putting it into the second term

un=a+(n-1)d

u2=22+(2-1)(6)

u2=22+6

u2=28

as the question said the second row has 28 seats so now we know the formula we made is correct.

as for part b

un=a+(n-1)

its asking us to find a row with 100 seats.

remember un was the amount of seata so all we do is substitute this in.

un=100 a=22 d=6

un=a+(n-1)d

100=22+(n-1)(6)

so now we simplify to find n which is the row number.

100-22=22+(n-1)(6)-22

78=(n-1)(6)

78/6=(n-1)(6)/6

13=n-1

13+1=n-1+1

14=n

so now we know that in the 14th row there is 100 seats.

hope this and that you understood! its my first time using the app or anyone out on here : p its also me to revise so a bunch! ask more questions if you dont understand ☺