Question

state if the inequality is true or false.
a. $7 > 7$
b. $5 < 3$
c. $-4 < 0$
d. $-3 < -7$
e. $0 < -4$
f. $5 < -5$

Explanation:

Part a

Step1: Recall inequality rules

For a number \(a\) and \(b\), \(a > b\) means \(a\) is strictly greater than \(b\). Here \(a = 7\) and \(b=7\).

Step2: Compare values

Since \(7\) is not strictly greater than \(7\) (they are equal), the inequality \(7>7\) is false.

Part b

Step1: Recall inequality rules

For \(a = 5\) and \(b = 3\), \(a < b\) means \(a\) is strictly less than \(b\).

Step2: Compare values

Since \(5\) is greater than \(3\) (\(5>3\)), the inequality \(5 < 3\) is false.

Part c

Step1: Recall inequality rules for negative numbers

Negative numbers are less than \(0\). For \(a=- 4\) and \(b = 0\), \(a < b\) means \(-4\) is less than \(0\).

Step2: Compare values

Since \(-4\) is a negative number and negative numbers are less than \(0\), \(-4<0\) is true.

Part d

Answer:

s:
a. False
b. False
c. True
d. False
e. False
f. False