Algebra 1 please help>>is each number a solution of the given inequality?

Is each number a solution of the given inequality?



1. 2x + 3 %26gt; 5



a. -3 b. -5 c. 3



2. 4y - 1 %26lt; 8



a. 0 b. 2 c. 4



Define a variable and write an inequality to model each situation.



3. You must have a GPA of atleast 2.5 to enter the university.



4. Flowers must be planted atleast 2 inches apart.

Algebra 1 please help%26gt;%26gt;is each number a solution of the given inequality?
For 1 and 2, all you really have to do is substitute each number (a, b, c) for x to determine whether or not it satisfies the equation. You could also solve for x and then test each number.



1). 2x + 3 %26gt; 5. Subtract 3 from both sides:

2x %26gt; 2. Divide both sides by 2:

x %26gt; 1

With this, you can clearly see that neither a. nor b. would work, but c. would work.



2. 4y - 1 %26lt; 8. Add 1 to both sides:

4y %26lt; 9. Divide both sides by 4:

y %26lt; 2.25

a. and b. both work because they are both less than 2.25, but c. is greater than 2.25, so c. would not work.



3. We are dealing with the numerical value of GPA, so let's pick a random letter to represent it, like g for instance. It says that g must be at least 2.5. So g must be greater than 2.5, but since it says at least, that means that g can also equal 2.5. The appropriate inequality would represent "greater than or equal to" (≥):



g ≥ 2.5 GPA



4. In this case, the numerical value refers to the distance between planted flowers, which we will call d. This distance must be "greater than or equal to" 2 inches. The appropriate inequality statement, then, is:



d ≥ 2 inches
Reply:1. b,C

2. a,b



3. x= possible GPA

X greater than or equal to 2.5



4. x= possible distance of the flowers

x is greater than or equal to 2



* i didn't know how to put the sings of greater thand or equal to so that is why i worded it
Reply:Well for #1 its easy... just take each number given (we'll do A which is -3) and put it into the equation as x. Therefore, the equation would look like this:

2(-3) + 3 %26gt; 5

2 times -3 = -6

-6 + 3 = -3

therefore, A cannot be a solution to the inequality because -3 is NOT %26gt; 5.



repeat those steps for B and C.

repeat those steps for #2.



For number three, you have to show that you can have a GPA of 2.5 or higher to enter the university. That means it can also equal 2.5. So the answer would look like this: x ≥ 2.5 (the ≥ symbol means greater than OR equal to).



Repeat those steps for #4.
Reply:1. only c is a solution



2. a and b are solutions



3. let x denote GPA, then x %26gt;= 2.5 (x is greater than or equal to 2.5



4. let xi be the location of ith flower and xj be the location of jth flower. Then, xi-xj %26gt;= 2 for all i is not equal to j



Hope this helps