One-variable Inequality

My Definition

Key Characteristics

The following are true of a one-variable inequality:

  • The term refers to a relationship between two expressions that may include equality.

  • It uses one of the following symbols:
    > (greater than)
    < (less than)
    ≥ (greater than or equal)
    ≤ (less than or equal)
    ≠ (not equal)

  • The solutions can be represented using inequality symbols, number lines, and sets of numbers.

  • It always contains an unknown value.




Example


Video Transcript (PDF)

Non-example

x3
− 7 = 15

x3
− 7 + 7 = 15 + 7

x3
= 22

3 • $\Big($
x3
$\Big)$ = $($22$)$ • 3

x = 66

These are one-variable equations.

TEKS: 6(9)(A), 6(9)(B), 6(9)(C), 6(10)(A), 6(10)(B), 7(10)(A), 7(10)(B), 7(10)(C),
7(11)(A), 7(11)(B), 8(8)(A), 8(8)(B)