SOLUTION: how to solve this problem? 5x-1<4 and x-2>-1 give solution set in interval and graph forms. for the compound inequality

Question 59908: how to solve this problem? 5x-1<4 and x-2>-1 give solution set in interval and graph forms. for the compound inequality
Answer by tutorcecilia(2152) (Show Source): You can put this solution on YOUR website!
how to solve this problem? 5x-1<4 and x-2>-1 give solution set in interval and graph forms. for the compound inequality
5x-1<4
5x<4+1
5x<5
5x/5<5/5
x<1
.
and.
x-2>-1
x-2>-1
x-2+2>-1+2
x>1
.
Graphing:

(negative infinity)===(0)===(1)===(2)===(3)===(positive infinity)
x<1 [Draw a dark arrow from 1 to negative infinity. Use an open circle over the number 1.
.
x>1 [Draw dark arrow from 1 to positive infiniyt. Keeping the circle over the number 1 opened.
Interval notation:
(-infinity, 1)(1, +infinity)

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