Question

Solve the inequality. (If there is no solution, enter NO SOLUTION. If all real numbers are solutions, enter REALS.)

Answer 1

b ≤ -200

( - ∞, -200]

Step-by-step explanation:

We have to solve

`(b)/(-10)\ge20`

for b.

Multiplying both sides by -10 reverses the direction of the inequality and gives

`b\le20*(-10)`

which simplifies to give

`\boxed{b\le-200.}`

We plot the above on the number line.

The above plot tells us that all values of b less than or equal to -200 satisfies the inequality.

Using the interval notation, we write the interval as

`(-\infty,-200\rbrack`

Where parenthesis tells us that ∞ itself is not included in the interval, the bracket '[' tells us that -200 is included in the interval.