Question

Which sentence can represent the inequality 5x+ 257?O The sum of half of a number and three-fourths is at least five and one quarter.O Half the sum of a number and three-fourths is not more than five and one quarter.O The sum of half of a number and three-fourths is at most five and one quarter.O Half the sum of a number and three-fourths is not less than five and one quarter.

Answer 1

The inequality consist of two terms 1/2 x and 3/4, in which 1/2 x is half of a number x and 3/4 is expressed as three-fourth, so 1/2x + 3/4 is sum of half of a number and three fourth.

The mixed fraction 5 1/4 can be expressed as five and one-fourth.

The inequality sign,

`\ge`

represents the left hand side value of sign is more than or equal to the value on right hand side of equation or left hand side value is atleast equal to right hand side equation.

So sum of half of a number and three-fourth is atleast five and one fourth.