Answer:
Treat the lesser than sign as an equal sign. What you do to one side, you do to the other. Isolate the variable x. Do the opposite of PEMDAS.
PEMDAS = Parenthesis, Exponents ( & roots), Multiplication, Division, Addition, Subtraction.
Solve -6x + 14 < -28
First, subtract 14 from both sides:
-6x + 14 (-14) < -28 (-14)
-6x < -42
Next, divide -6 from both sides to isolate the variable x. Note that when you divide (or multiply) by a negative number, you must flip the greater than or less than sign.
(-6x)/-6 < (-42)/-6
x > (-42)/(-6)
x > 7
x > 7 is your answer.
Solve 3x + 28 < 25
First, subtract 28 from both sides.
3x + 28 (-28) < 25 (-28)
3x < -3
Isolate the variable x. Divide 3 from both sides. Note that because you aren't dividing by a negative number (rather a positive 3), you do not flip the sign.
(3x)/3 < (-3)/3
x < (-3)/(3)
x < -1
x < -1 is your answer.
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