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Which of the following is an inequality sentence?

[tex] \text{A. \: \: x + 5 = 20}[/tex]
[tex] \text{B. \: \: x = 5}[/tex]
[tex] \text{C. \: \: x < 5}[/tex]
[tex] \text{D. \: \: x + 5}[/tex]

Sagot :

Answer:

[tex]C. x<5[/tex]

Step-by-step explanation:

  • Option A [tex][x+5=20][/tex]tells us that: When we add 5 to a variable x, we get 20. As it has a unique value for x and is completely equal to it(i.e. 15), It is an equality.
  • Option B[tex][x=5][/tex] tells us that: A variable x equals to 5. Hence, as x is unique for 5 and is wholly equal to it, it's an equality too.
  • Option C[tex][x<5][/tex] tells us that: A variable x isn't 5 but lesser than it. As we cannot equate it to 5, nor we are given the nature of the variable x, it is an Inequality.
  • Option D[tex][x+5][/tex] is an expression; It can't be called an equation or an inequality unless we relate it with another expression.

Step-by-step explanation:

C.x<5 is an inequality sentence.