a Plot both numbers on a number line. The greater number is further to the right.
B
b Plot both numbers on a number line. The greater number is further to the right.
C
c What does the symbol ≤ mean?
D
d Plot both numbers on a number line. The greater number is further to the right.
E
e Plot both numbers on a number line. The greater number is further to the right.
F
f What does the symbol > mean?
A
a True.
B
b False.
C
c True.
D
d True.
E
e False.
F
f False.
Practice makes perfect
a We can compare these two numbers by plotting them on a number line. The greater number will be further to the right.
Based on this number line graph we can tell that 5 is less than 7. This relation can also be written as 5<7, so the given statement is true.
b We can compare these two numbers by plotting them on a number line. The greater number will be further to the right.
Based on this number line graph we can tell that - 2 is less than 9, so the given statement is false.
c Recall that the symbol ≤ means less than or equal to.
0 ? ≤ 0
Notice that on both sides of the symbol we have the same number, which is 0. Thus, both sides of the given inequality are equal, and the given statement is true.
d We can compare these two numbers by plotting them on a number line. The greater number will be further to the right.
Based on this number line graph, we can tell that - 5 is greater than - 10. This relation can also be written as - 5 > - 10, so the given statement is true.
e We can compare these two numbers by plotting them on a number line. The greater number will be further to the right.
Based on this number line graph, we can tell that 16 is greater than - 16, so the given statement is false.
f Recall that the symbol > means greater than.
1? >1
Notice, that on both sides of the symbol we have the same number, which is 1. Thus, both sides of the given inequality are equal, and it is not true that number on one side of the inequality is greater than number on the other side. Therefore, the given statement is false.
