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[tex]\frac{1}{4}[/tex]
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. [tex]\frac{4}{3}[/tex]x < -3
cross multiply to have;
4x < -3 * 3
4x < -9
divide both sides by 4 to have;
x < [tex]-\frac{9}{4}[/tex]
x < -2[tex]\frac{1}{4}[/tex]
This implies that the value of x is less than -2[tex]\frac{1}{4}[/tex].
Therefore the value of x in the fist expression is greater than that in the second expression.
For more on inequality, check: https://brainly.com/question/11613554
