What is the solution of 3+ (x-2)/(x-3) < =4 x< 3 x< =3 x> 3 x> =3

A. X < 3.

Step-by-step explanation:

We have the equation,

Adding -4 on both sides, we get,

i.e.

i.e.

So, we have the inequality .

Its critical points are given by  x-3 = 0 which implies x = 3.

Now, we will find the region among the two and that satisfies the inequality

Substitute x = 2 in the above inequality, we get -1 < 0, which is true. Again, substitute x=4 gives 1 < 0, which is false.

As x=4 lie in the region   , it cannot be the solution of the given inequality.

So, the solution of the given inequality is the region .i.e. x < 3.

Hence. option A is correct.

the amount you'd have after the work is $1.55

step-by-step explanation:

you subtract 95% from $31.

walter needs to make at least 5 more cookies but no more than 40. 5 ≤ x ≤ 40

step-by-step explanation:

20 ≤ x + 15 ≤ 55

subtract 15 from all parts

20-15 ≤ x + 15-15 ≤ 55-15

5 ≤ x ≤ 40

this means how many more cookies he has to make

walter needs to make at least 5 more cookies, but no more than 40 cookies; 5 ≤ x ≤ 40