Which phrases can be used to represent the inequality 6.5 x + 1.5 less-than-or-equal-to 21? Select two options. The product of 6.5 and the sum of a number and 1.5 is no more than 21. The sum of 1.5 and the product of 6.5 and a number is no greater than 21. The product of 6.5 and a number, when increased by 1.5, is below 21. The product of 6.5 and a number, when increased by 1.5, is at most 21. The sum of 1.5 and the product of 6.5 and a number is at least 21.

Respuesta :

Answer:

The option with “at most” and “no more than”

Step-by-step explanation:

These two phrases mean “greater than or equal to”

1. The sum of 1.5 and the product of 6.5 and a number is no greater than 21.

2. The product of 6.5 and a number, when increased by 1.5, is at most 21.

What is inequality ?

In which mathematical expression both sides are not equal, i.e. one side is greater or less or greater equal or less equal than other side, is called inequality.

Example : 4x+5>3x-2

What are the required phrases ?

The given inequality is [tex]6.5x+1.5\leq 21[/tex]

Firstly, The sum of 1.5 and the product of 6.5 and a number (say x) is 6.5x+1.5,  which is no greater than 21, i.e. [tex]6.5x+1.5\leq 21[/tex]

Again, The product of 6.5 and a number (say x) is 6.5x, when increased by 1.5, it will be 6.5x+1.5 which is at most 21, i.e. [tex]6.5x+1.5\leq 21[/tex]

Hence, the correct options are,

1. The sum of 1.5 and the product of 6.5 and a number is no greater than 21.

2. The product of 6.5 and a number, when increased by 1.5, is at most 21.

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