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Solving this inequality is similar to solving a regular equation. The only thing you need to worry about with inequalities is that when you are dividing or multiplying by a negative number, you must flip the inequality sign. You won't have to worry about that here!
You are told x + 3/4 ≥ -1/3. Isolate the x by subtracting 3/4 from both sides. To subtract fractions, find a common denominator on both fractions, subtract the numerators, put the difference over the common denominator, and simplify if needed. The common denominator between
and 
is 12.
1) To make the denominator of, 12, multiply it by 3/3 (aka 1):
2) To make the denominator of, 12, multiply it by 4/4:
3) Subtract the fractions to find the inequality for x:
You answer is x ≥ -13/12, or if you want to make -13/12 a mixed number, x ≥
.
You are told x + 3/4 ≥ -1/3. Isolate the x by subtracting 3/4 from both sides. To subtract fractions, find a common denominator on both fractions, subtract the numerators, put the difference over the common denominator, and simplify if needed. The common denominator between
1) To make the denominator of
2) To make the denominator of
3) Subtract the fractions to find the inequality for x:
You answer is x ≥ -13/12, or if you want to make -13/12 a mixed number, x ≥
Slope is change in y over change in x. From 0 to 10 we change by 10 so 10/x=2. The change in x=5 but you’re not looking for the change in x. You’re looking for a value that would give you change in x being 5 which would be 0. 0 to 5 gives us a change in x of 5. 10/5 is 2 which is the slope.
When lines are perpendicular, they slopes are opposite reciprocal. Opposite reciprocal means that the slope is flipped and then changed from negative to positive.
