Question

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Answer 1

What's your work?

Answer 2

2x - 1‹7

First, let's work on the left hand side of your inequality, the 2x - 1
This means, for instance, to see if it can be simplified at all.
Multiply x and 2
Multiply x and 1


The x just gets copied along.

The answer is x

x

2*x evaluates to 2x

2*x-1 evaluates to 2x-1

So, all-in-all, the left hand side of your inequality can be written as: 2x-1

Now, let's work on the right hand side of your inequality, the 7
The right hand side of your inequality can be written as: 7
So with these (any) simplifications, the inequality we'll set out to solve is:
2x-1 ‹ 7

Move the -1 to the right hand side by adding 1 to both sides, like this:
To the left hand side:
-1 + 1 = 0

The answer is 2x

To the right hand side:
7 + 1 = 8

The answer is 8


Now, the inequality reads:
2x ‹ 8
To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the x on the left side of the inequality.

The last step is to divide both sides of the inequality by 2 like this:
To divide x by 1


The x just gets copied along in the numerator.

The answer is x

2x ÷ 2 = x


8 ÷ 2 = 4

The solution to your inequality is:
x ‹ 4

Answer 3

sorry, @mangorox, that's incorrect

Answer 4

or incomplete, I should say. we need to solve both inequalities...

Answer 5

5x + 3‹3

First, let's work on the left hand side of your inequality, the 5x + 3
This means, for instance, to see if it can be simplified at all.
Multiply x and 5
Multiply x and 1


The x just gets copied along.

The answer is x

x

5*x evaluates to 5x

5*x+3 evaluates to 5x+3

So, all-in-all, the left hand side of your inequality can be written as: 5x+3

Now, let's work on the right hand side of your inequality, the 3
The right hand side of your inequality can be written as: 3
So with these (any) simplifications, the inequality we'll set out to solve is:
5x+3 ‹ 3

Move the 3 to the right hand side by subtracting 3 from both sides, like this:
From the left hand side:
3 - 3 = 0

The answer is 5x

From the right hand side:
3 - 3 = 0

The answer is 0


Now, the inequality reads:
5x ‹ 0
To isolate the x, we have to divide both sides of the inequality by the other "stuff" (variables or coefficients)
around the x on the left side of the inequality.

The last step is to divide both sides of the inequality by 5 like this:
To divide x by 1


The x just gets copied along in the numerator.

The answer is x

5x ÷ 5 = x


0 ÷ 5 = 0

The solution to your inequality is:
x ‹ 0

Answer 6

and we're supposed to be checking @PiexeDust1's work

Answer 7

Yes, I see now that you had an asterisk by that choice.

Answer 8

@mangarox isn't a fast typist, they've just pasted in the results from a computer program. if you notice, both writeups use exactly the same language, and a google search will give you other examples of that same framework...

Answer 9

yes, I agree with the next answer as well

Answer 10

those fractions are (2/3)*x, right? last one is correct.

Answer 11

penultimate one is correct

Answer 12

yes, they all look correct