Which of the following is an inequality sentence? \text{A. \: \: x + 5 = 20} \text{B. \: \: x = 5} \text{C. \: \: x < 5} \text{D. \: \: x + 5} ​

Question

Which of the following is an inequality sentence?


`\text{A. \: \: x + 5 = 20}`

`\text{B. \: \: x = 5}`

`\text{C. \: \: x < 5}`

`\text{D. \: \: x + 5}`
​

Answer 1

Explanation:

C.x<5 is an inequality sentence.

Answer 2

`C. x<5`

Explanation:

• Option A
  `[x+5=20]`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
  `[x=5]` 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
  `[x<5]` 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
  `[x+5]` is an expression; It can't be called an equation or an inequality unless we relate it with another expression.