How do you write a compound inequality
1 answer:
<u>Compound inequality:</u>
A compound inequality contains two or more inequalities that are separated either by "and" or "or".
And: It indicates that both statements of the compound sentence satisfies at the same time.
Or: This indicates that as long as either statement is true, the entire compound sentence is true.
For example:
1.
Here, and denotes that intersection or the overlap will be the desired result.
2.
Since the joining conjunction is or we can come to a point that the entire compound sentence is true.
AND CASES:
A number is a solution to the compound inequality if the number is a solution to both inequalities. It can either be written as x > -1 and x < 1 or as -1 < x < 1.
OR CASES:
A number is a solution to the compound inequality if the number is a solution to at least one of the inequalities. It is written as x < -1 or x > 1.
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Answer:
h greater-than-or-equal-to negative 432
Step-by-step explanation:
* multiply each side by -24 *
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.