a How can you undo the operation in the first inequality?
B
b How can you undo the operation in the first inequality?
C
c How can you undo the operation in the first inequality?
D
d How can you undo the operation in the first inequality?
A
a Subtract 4 from each side.
B
b Add 1 to each side.
C
c Subtract 3 from each side.
D
d Add 2 to each side.
Practice makes perfect
a We are given two equivalent inequalities. We need to think what we can do to the first inequality to get it to its second and equivalent form.
x+4 ≤ 10 ⇒ ? ⇒ x ≤ 6
Notice that in the second inequality x is isolated. To achieve this, we can undo the addition in the first inequality by subtracting the same quantity from both sides.
b Once again, we need to think what we can do to the first inequality to get it to its second and equivalent form.
m-1 > 3 ⇒ ? ⇒ m > 4
This time, in the second inequality m is isolated. To achieve this, we can undo the subtraction in the first inequality by adding the same quantity to both sides.
c Just like before, we need to think what we can do to the first inequality to get it to its second and equivalent form.
5 ≥ 3 + n ⇒ ? ⇒ 2 ≥ n
Now we have that n is isolated in the second inequality. To achieve this, we can undo the addition by subtracting the same quantity from both sides.
d One last time, we need to get from the first inequality to its second and equivalent form.
- 6 < y -2 ⇒ ? ⇒ - 4 < y
In the second inequality, y is isolated. We can undo the subtraction in the first inequality by adding the same quantity to both sides.
