Question

Explain the similarities and differences in solving between

rational equations and inequalities?​

Answer 1

while solving rationnal equation, we need to convert into fractions. there can be inequalities and equalities.

Answer 2

Answer:

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Step-by-step explanation:

Strictly speaking, inequalities requiring “solving” are called inequations.

Here are the similarities:

Both hold if you add/subtract the same amount to/from both sides and also if you multiply/divide both sides by/with the same positive amount.

For any c, a = b implies a ± c = b ± c .

For c > 0, a > < b implies ac > < bc or a/c > < b/c.

If, however, you multiply/divide both sides by/with the same negative amount, equations/equalities still hold while inequations/inequalities reverse direction.

For c < 0, a > < b implies ac < > bc or a/c < > b/c.

Regarding zero, they are similar: Addition/subtraction has no effect, multiplication renders them indeterminate and division is forbidden.

a±0 < = > b±0

a*0 < = > b*0 is indeterminate regarding the relation of a to b

a/0 < = > b/0 is forbidden.

( The notation ‘> <’ for ‘either > or <’, ‘< >’ for ‘either < or >’ and ‘< = >’ for ‘either < or = or >’ is probably not accepted standard, but here it helps make the point with fewer symbols).