X + 1 >_ 3 or 4/3x < -8

Inequality ideals with expression that do not have a direct answer. It can be identified by either of the following signs in a given expression: <, >, ≥, or ≤.

The answer to the question is:

x ≥ 2   or x < -2

A given expression can be classified as an inequality expression if it does not result to a definite answer i.e no equal to sign is used in the expression. It is used to give a range of solution to a quantity.

Thus then given question can be solved as follows:

i. x + 1 ≥ 3

collect like terms to have

  x ≥ 3 - 1

  x ≥ 2

This implies that the value of x is greater than 2, but not less than 2.

ii. x < -3

cross multiply to have;

4x < -3 * 3

4x < -9

divide both sides by 4 to have;

x <

x < -2

This implies that the value of x is less than -2.

Therefore the value of x in the fist expression is greater than that in the second expression.

For more on inequality, check: link

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step-by-step explanation:

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