Asked by kj
I really don't understand please help with answers and explanations.
Follow the instructions for the following inequalities.
1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10
2. 11>-2 Add 5 to both sides, then add 3, then add (-4)
3. -4<-2 Subtract 6 from both sides, then 8, and then 2
4. -8<8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Follow the instructions for the following inequalities.
1. 4<7 Multiply both sides by 7 , then by 6, then by 3, then by 10
2. 11>-2 Add 5 to both sides, then add 3, then add (-4)
3. -4<-2 Subtract 6 from both sides, then 8, and then 2
4. -8<8 Divide both sides by -4, then by -2
5. Write a short explanation of the effects of the above operations. Did this affect the inequality sign? Was it still true? Why or why not?
Answers
Answered by
oobleck
4<7 Multiply both sides by 7
4 < 7
4*7 < 7*7 or, 28 < 49
-8<8 Divide both sides by -4
-8/-4 < 8/-4
2 < -2
Nope. 2 > -2
what happened? when you multiply/divide by a negative value, you switch the direction of the inequality. It's really just a shorthand way of moving something to the other side.
Other than that, as long as you do the same thing to both sides, the inequality remains true.
4 < 7
4*7 < 7*7 or, 28 < 49
-8<8 Divide both sides by -4
-8/-4 < 8/-4
2 < -2
Nope. 2 > -2
what happened? when you multiply/divide by a negative value, you switch the direction of the inequality. It's really just a shorthand way of moving something to the other side.
Other than that, as long as you do the same thing to both sides, the inequality remains true.
Answered by
kj
What about 2 and 3 how will I go about answering those?