Question
Neil and Yuki run a data entry service . Neil starts at 9 :00 Am and can type 45 words per minute. Yuki arrives at 10 :30 AM and can type 60 words per minute. Write and solve an inequality to find at what time yuki will have typed more words than neil. Let X represent the time in minutes.
Hint:
Linear inequalities are expressions where any two values are compared by the inequality symbols<,>,≤&≥ .
We are asked to write and solve an inequality to find the time when Yuki would have typed more words than Neil.
The correct answer is: x>270
Step 1 of 2:
Let x be the number of minutes after 10.30 AM.
The number of words Neil types is given in the expression form as:45x . But, he is ahead by 90 minutes. So, the final expression would be: 
.
The number of words Yuki types is given by;
We need to find the time when Yuki would have typed more words than Neil. Thus, we get the expression:
60x>45(x+90)
Step 2 of 2:
Solve the inequality,
n 
So, Yuki will have typed more words than Neil 270 minutes or 4 hours and 30 minutes after 10.30 AM.
Whenever we use the inequality symbol < or> we do not include the end point.
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Note:
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Note:
Whenever you divide or multiply an inequality with a negative number, you change the direction of the symbol used.
