In 10 > 4x + 2 which inequality represents the possible range of values of 9x + 4

9x+4<22

Explanation:

Inequalities are solved in the same way as normal equations, we just need to start by isolating the x term on one side so we can solve for it on the other side, which we can do by doing the same thing to both sides to cancel out the other term and the coefficient:

10 -2 > 4x +2 -2

8 > 4x

8/4 > 4x/4

2 > x

This means x can be anything less than 2.

So now we can find the maximum value for the equation by substituting x:

9(2) + 4 = 22

That is the maximum value if x is 2, but because x has to be less than two, the possible range of values for 9x+4 will all be less than 22.

9x+4<22

Hope this helped!

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