227k views
3 votes
Which values from the set {1,2,3,4} are solutions of 11>2x+5

1 Answer

3 votes

Answer: 1 and 2

====================================================

Method 1)

Solve for x

11 > 2x + 5

11-5 > 2x

6 > 2x

2x < 6

x < 6/2

x < 3

So any x value smaller than 3 will be a solution. If we only consider values from the set {1,2,3,4}, then the solution values are {1,2}

------------------------------------

Method 2)

Plug each value from the set {1,2,3,4} into the original inequality. If you get a true statement after simplifying, then that value is a solution. Otherwise, it is not a solution.

Let's check x = 1

11 > 2x+5

11 > 2*1+5 ... replace x with 1

11 > 2+5

11 > 7 .... true statement since 11 is larger than 7

So x = 1 is a solution

--------

Let's check x = 2

11 > 2x+5

11 > 2*2+5

11 > 9 .. another true statement

x = 2 is another solution

--------

Let's check x = 3

11 > 2x+5

11 > 2*3+5

11 > 6+5

11 > 11 .. false, no number is larger than itself

x = 3 is not a solution

--------

Let's check x = 4

11 > 2x+5

11 > 2*4+5

11 > 8+5

11 > 13 ... false statement

x = 4 is not a solution

-------

We see that only x = 1 and x = 2 are solutions.

User Awilkening
by
7.6k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories