Question

5x + 7 42

Answer 1

Is the equation like this: 5x + 7 = 42?

Answer 2

no, -5x+7>42
I can just cancel out 7 right?

Answer 3

First, let's work on the left hand side of your inequality, the -5x + 7
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

Because of the minus sign

5x becomes - 5x

The answer is -5x

-5*x+7 evaluates to -5x+7

So, all-in-all, the left hand side of your inequality can be written as: -5x+7

Now, let's work on the right hand side of your inequality, the 42
The right hand side of your inequality can be written as: 42
So with these (any) simplifications, the inequality we'll set out to solve is:
-5x+7 › 42

Move the 7 to the right hand side by subtracting 7 from both sides, like this:
From the left hand side:
7 - 7 = 0

The answer is -5x

From the right hand side:
42 - 7 = 35

The answer is 35


Now, the inequality reads:
-5x › 35
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


35 ÷ -5 = -7


Note! Here's an important point about inequalities:
We are now dividing by -5, which is a number less than zero! This changes the form of your inequality. Or, in other words, your › will now become a ‹.

The solution to your inequality is:
x ‹ -7
So, your solution is:
x must be less than -7

Answer 4

I did the same thing , thanks but mines was a little shorter