Question

Write a second inequality with the same meaning. −18 ≤ b

Answer 1

Step-by-step Answer:

Many inequalities are possible, for example:

Keeping the less than or equal to sign, we could write

-18-b<=0

or, switching sides,

b>= -18 (just by switching sides)

b+18>=0 (by transposing -18 to the left)

Then again, we can multiply both sides by -1, but we need to change the direction of the inequality:

18>=-b

or equivalently, by transposing 18 to the other side

0>=-b-18

and similarly

b+18>=0 (we already had this above)

Guess time to stop!

Answer 2

`b \geqslant - 18`

Step-by-step explanation

The given inequality is:

`- 18 \leqslant b`

We can rewrite this as:

`b \geqslant - 18`

The above two inequalities have the same meaning.

Reading from right to left, the first inequality says, "b is greater than or equal to negative 18."

Reading from left to right, the second inequality says, "b is greater than or equal to negative 18."

Therefore the two inequalities have the same meaning.