Answer:
yes
Explanation:
You want to know if 3x+5 < 9 is a linear inequality.
Inequality
The relation is an inequality because a comparison symbol other than an equal sign is used.
Linear
The relation is linear because the variable expression is of degree 1.
The relation 3x+5 < 9 is a linear inequality.
__
Additional comment
The parts of the expression are ...
- 3x — a "term" consisting of the product of a coefficient (3) and a variable (x). The implied exponent of x is 1. That is its degree.
- + — a math operator indicating addition
- 5 — a "term" consisting of a constant (5). This can also be referred to as a coefficient.
- < — a math relational operator telling you the expression on the left has a value less than that of the expression on the right. The presence of this symbol is what makes it an "inequality". Other relational operators are >, ≤, ≥, =, ≠. These may be represented differently in the context of a spreadsheet or computer program, where you might see != or <> for "not equal", for example.
- 9 — another constant.
An expression consisting of one term can be called a "monomial." With 2 terms, it is a "binomial". With no particular number of terms, it is a "polynomial." In general a polynomial is a sum of terms of non-negative integer degree. (A constant has degree 0.)
If a term has more than one variable, its degree is the sum of the exponents of the variables. For example, 8xy³ has variable exponents 1 and 3, so its degree is 1+3 = 4.
The terms "linear", "quadratic", "cubic", and "quartic" are used to refer to polynomial expressions or terms of degrees 1, 2, 3, and 4, respectively. A first degree polynomial is a linear polynomial. Its graph is a straight line.