Question

Find all real numbers X such that 6x-21<=-3 AND 14x+11>=-17

Answer 1

`6x - 21 \leq -3`

`14x + 11 \geq -17`

D: All real x.


`\text{From the first equation:}`

`6x \leq 18`

`x \leq 3`

New domain: x is less than or equal to 3.


`\text{From the second equation:}`

`14x \geq -28`

`x \geq -2`

Thus, there is a restriction:

`D: -2 \leq x \leq 3`