The speed limit is 55 minutes per hr. write an inequalit to represent the speed limit.

Either  or  depending on your teacher's preference. See the note at the bottom for more info. 

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Let x be the speed limit. It is simply a placeholder. Think of it as a box with the number inside. We don't know what the number is, but we know that the largest it can be is 55. It cannot be larger than 55.

So x can be equal to 55 or it can be smaller

Put another way, x is less than or equal to 55 which is written as  (on the keyboard you would type " x <= 55 " without quotes). 

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Note: since negative speeds make no sense, we also must imply that x can't be negative. Your teacher may want you to write this in to clearly state it. If so, then you would also have  which when combined with the first inequality, you get this compound inequality  (basically saying "x is some speed between 0 and 55 mph"). This very clearly states the boundaries on what x can be. Though your teacher may want you to stick to the first format as its simpler.