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Initial problem: 7-4x<8
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document.write( "The goal here is to isolate the x variable.
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document.write( "First step: subtract the 7 from both sides:
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document.write( "-4x < (8-7)
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document.write( "-4x < 1
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document.write( "Second step: divide both sides by -4. Remember, when you divide by a negative number, the direction of the inequality changes.
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document.write( "x > -1/4
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document.write( "Note: you can always check your answer by selecting a number that fits your final inequality and plugging it into the original problem.
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document.write( "In this case, let's choose x = 0, because that fits the answer x > -1/4.
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document.write( "Then, you have:
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document.write( "7 - 4(0) < 8
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document.write( "7 < 8
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document.write( "Which is a true statement. So, the answer indeed is x > -1/4.