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Math

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PROBLEM

If x<6x<6, show an appropriate inequality for x3x-3. What is x3x-3 less than?

STEP 1

Assumptions1. The variable xx is less than6. We need to find an appropriate inequality to fill in the blank

STEP 2

We start with the given inequality x<6x<6.

STEP 3

We need to find an inequality that matches the form x3<3x-3<3.

STEP 4

To do this, we can subtract3 from both sides of the given inequality x<6x<6 to get a new inequality.
x3<63x -3 <6 -3

STEP 5

implify the right side of the inequality.
x3<3x -3 <3

SOLUTION

So, the inequality that fills in the blank is x3<3x -3 <3.
The filled blank is(a) If x<6x<6, then x3<3x-3<3.

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