Don’t you just love inequalities? Of course I can only hear you saying “not really…inequalities stink!” Well I know you may not like inequalities but you need to know how to work with them. All right let me stress some points:
* the solution to an inequality is more than a single number; inequalities have solution sets (many/infinite number of solutions). As an example lets consider the inequality x > 5 what can the value of x be? i.e. what numbers are greater than 5? clearly an infinite amount of numbers are greater than 5 so we need to express the solutions to inequalities in a different way other than writing out all the numbers greater than 5 – that would take a lot of paper and with global warming….you get the idea. So to deal with this little issue we graph the solution of an inequality on a number line.
other important points:
* we simplify inequalities using the same steps as solving equations
* when dividing/multiplying both sides of an inequality by a negative number you need to reverse the inequality symbol; example > would turn into < .
* when graphing your solution <, > symbols use open circles; <=, >= symbols fill in the circle.
* make sure you can solve linear equations before taking on inequalities- good luck and may the force be with you!!
Answer:
hmm sorry
Step-by-step explanation:
Answer:
x-1= -18
x = -18 +1
x = -17
2x - 4 = - 38
2x = -38 + 4
2x = -34
x = -34/2
x = -17
Step-by-step explanation:
Part a .
A arithmetic sequence with a third term of 8 and a common difference of 5 .
To find the first five therms, since the common difference is 5, so we add 5 to get the fourth term and add 5 to fourth term to get the fifth term .
And for first two terms, we will subtract 5 from 8 to get the second term and subtract 5 from the second term to get the first term. And we will get
Part b:A geometric sequence with a fifth term of 1/3 and constant ratio of 1/3.
TO find the first five terms, since the constant ratio of 1/3, so we multiply 1/3 to third term to get fourth term, and multiply fourth term by 1/3 to get fifth term .
And to get the first two terms, we will divide third term by 1/3, to get the second term and divide the second term by 1/3 to get the first term, that is
