Question

MEDAL


Someone please help me solve this problem

Answer 1

@robtobey

Answer 2

@agent0smith @Ashleyisakitty @TuringTest

Answer 3

@mathstudent55

Answer 4

So first off, what do you think you have to do here? You could try plugging in values of x and see if it gives you true answers.

Answer 5

Substitute each value in the inequality. If it makes the inequality true, it can be a value of x. If it doesn't, it can't.

Answer 6

Don't do anything to the inequality. Just replace x with each value first. Then calculate each side, and see if it's true.

Answer 7

I know that that's the most obvious one, but I wanted to know without any substitution. Kind of like using an abstract method.

Answer 8

Here's how you'd check choice A.:

5x + 2 < 2x + 5
A) 0

5(0) + 2 < 2(0) + 5
0 + 2 < 0 + 5
2 < 5
Since 2 < 5 is a true statement, choice A) 0, is good.

Answer 9

Any other way instead of substituting the numbers into the variable's place?

Answer 10

If you want to do a little more work at first, but it'll save you work larter, then solve the inequality for x.

5x + 2 < 2x + 5

Subtract 2 from both sides:

5x < 2x + 7

Subtract 2x from both sides:

3x < 7

Divide both sides by 3:

x < 7/3 which means x < 2.333333...

Answer 11

Now that you know what x is, check each choice. If the choice is less than 2.333..., then it works. If x > 2.333... then it doesn't work.

Answer 12

@mathstudent55 Didn't you add the 2 to 5 in order for it to come to 7? I thought that if you subtract you would get 3.