A runner did the 100 meter dash in 9.9 seconds and the 100 yard dash in the same amount of time . In which race did he run the f
1 answer:
You might be interested in
Solving inequalities 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 if the coefficient in front of x is positive when you divide!
Also remember:
- To add/subtract fractions, you have to turn all mixed numbers into improper fractions (if needed), <span>find a common denominator on both fractions (if needed), add/subtract the numerators, put the sum/difference over the common denominator, and simplify if needed.
- To multiply fractions, multiply the numerators and multiply the denominators. Put the product of the numerators over the product of the denominators.
- To divide fractions, remember that dividing by a fraction is the same as multiplying by the inverse of that fraction (aka fraction flipped).
- To turn mixed numbers into improper fractions, multiply the whole number by the denominator of the fraction. Add the numerator of the fraction to the product you get, and put that final sum over the original denominator.
Back to the problem:
</span>You are told that
and you have to solve for x.
<span>
1) </span>Using the info for converting mixed numbers to improper fractions from above, you know that
and 
and 
. Now add/subtract using the info above, isolating the variable x by adding 
to both sides and subtracting 
from both sides.
2) Divide both sides by
to get the inequality for x. Remember the info for dividing from above:
Your final answer is x <
or x < 
.
Also remember:
- To add/subtract fractions, you have to turn all mixed numbers into improper fractions (if needed), <span>find a common denominator on both fractions (if needed), add/subtract the numerators, put the sum/difference over the common denominator, and simplify if needed.
- To multiply fractions, multiply the numerators and multiply the denominators. Put the product of the numerators over the product of the denominators.
- To divide fractions, remember that dividing by a fraction is the same as multiplying by the inverse of that fraction (aka fraction flipped).
- To turn mixed numbers into improper fractions, multiply the whole number by the denominator of the fraction. Add the numerator of the fraction to the product you get, and put that final sum over the original denominator.
Back to the problem:
</span>You are told that
<span>
1) </span>Using the info for converting mixed numbers to improper fractions from above, you know that
2) Divide both sides by
Your final answer is x <
Answer:
Step-by-step explanation:
Starting from the y-intercept of you do
by either moving four blocks <em>south</em><em> </em>over one block <em>west</em><em> </em>or four blocks <em>north</em><em> </em>over one block<em> east</em><em> </em>[<em>west</em> and <em>south</em> are negatives]. Next, we have to determine the types of inequality symbols that are suitable for this graph, which will be <em>less</em><em> </em><em>than</em><em> </em>and <em>greater</em><em> </em><em>than</em><em> </em>since this is a <em>dashed</em><em> </em><em>line</em><em> </em>graph. We then use the zero-interval test [test point (0, 0)] to ensure whether we shade the opposite portion [portion that does not contain the origin] or the portion that DOES contain the origin. At this step, we must verify the inequalities as false or true:
<em>Greater</em><em> </em><em>than</em>
☑
<em>Less</em><em> </em><em>than</em><em> </em>
This graph is shaded in the portion of the origin, so you would choose the <em>greater</em><em> </em><em>than</em><em> </em>inequality symbol to get this inequality:
I am joyous to assist you anytime.