Solve |2x - 5| = 4. {x | x = -4.5 or x = 4.5} {x | x = 0.5 or x = 4.5} {x | 0.5 < x < 4.5}

{x | x = 0.5 or x = 4.5}

Explanation:

Before we begin, remember that:

The modulus gives the positive value of what's inside it.

This means that:

|a| = |-a| = a

Now, for the given, we have:

|2x-5| = 4

From the above rule, we can deduce that:

either:

2x - 5 = 4

2x = 4 + 5 = 9

x = 4.5 > first solution

Or:

2x - 5 = -4

2x = 5-4 = 1

x = 0.5 > second solution

Now, we check:

at x = 4.5: |2(4.5)-5| = |9-5| = |4| = 4 > first solution verified

at x = 0.5: |2(0.5)-5| = |1-5| = |-4| = 4 > second solution verified

Hope this helps :)

the least common denominatore of 7 and 2 is 9

step-by-step explanation:

7+2=9

amount of oatypop that contains the prize = 40%

amount   of oatypop which doesn't contain the prize = (100-40)=60%

probability that hannah will win a prize

    = s +f s +f f s+ff   f s+ff f f s+ infinity.where f= failure,s= success

=   or 60%

probability that hannah only has to buy 3 or less boxes before getting a prize= (s) and ( f s) and (ff s) and (f f f s)

        = = 87.04 %  

step-by-step explanation: