Question

What is the solution to StartFraction h over negative 24 EndFraction less-than-or-equal-to 18?

h greater-than-or-equal-to 432
h less-than-or-equal-to 432
h less-than-or-equal-to negative 432
h greater-than-or-equal-to negative 432

Answer 1

h greater-than-or-equal-to negative 432

Explanation:

Answer 2

h greater-than-or-equal-to negative 432

Explanation:

`(h)/(-24) \leq 18`

* multiply each side by -24 *

`(h)/(-24) *-24=h\\-24*18=-432`

IMPORTANT NOTE: when multiplying an inequality by a negative number you must flip the sign. So if the inequality sign was once facing the constant ( 18 ) then it will flip and face the variable ( h )

Thus,

h ≥-432

Which can also be expressed as h is greater than or equal to negative 432

Extra notes: You only have to flip the inequality sign if it's being multiplied by a negative number. Meaning if its multiplied by a positive number then the inequality sign does not flip.