Answer:
1. 5050 < 8820
2. 15 > 6
3. -20 , -18
4. -1 < 1
Step-by-step explanation:
1. 4 < 7
multiply both sides by 7: 4 x 7 < 7 x 7 = 28 < 49
then multiply both sides by 6: 28 x 6 < 49 x 6 = 168 < 294
then multiply both sides by 3: 168 x 3 < 294 x 3 = 505 < 882
then multiply both sides by 10: 505 x 10 < 882 x 10 = 5050 < 8820
<u>Did not affect the inequality sign</u>
2. 11 > 2
Add 5 to both sides: 11 + 5 > 2 + 5 = 16 > 7
then add 3 to both sides: 16 + 3 > 7 + 3 = 19 > 10
then add -4 to both sides: 19 - 4 > 10 - 4 = 15 > 6
<u>Did not affect the inequality sign</u>
3. -4 < -2
Subtract 6 from both sides: - 4 - 6 < - 2 - 6 = -10 < -8
then subtract 8 from both sides: -10 - 8 < -8 - 8 = -18 < -16
then subtract 2 from both sides: -18 - 2 < -16 - 2 = -20 , -18
<u>Did not affect the inequality sign</u>
4. -8 < 8
Divide both sides by -4: -8 ÷ -4 < 8 ÷ -4 = 2 > -2
then divide both sides by -2: 2 ÷ -2 > -2 ÷ -2 = -1 < 1
<u>Did affect the inequality sign throughout the operations, as when dividing by a negative number, flip the sign</u>
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5.
- Adding or subtracting the same quantity from both sides of an inequality leaves the inequality symbol unchanged.
- Multiplying or dividing both sides by a positive number leaves the inequality symbol unchanged.
- Multiplying or dividing both sides by a negative number reverses the inequality. This means < changes to > (and vice versa)
