Question

The solution to the inequality that represents the problem "Half a number plus 8 is greater than or equal to 20" is:

a) x ≥ 20
b) x ≥ 24
c) x < 20
d) x ≤ 24​

Answer 1

A
Greater than will always have the opening facing the number that is “greater than”

Answer 2

Answer :- b) x ≥ 24

Solution :-

We can write the problem presented in the form of an inequality:

• 
  `\bf (x)/(2)+8\geq20`

Now, we can proceed to its solution:-

`\qquad`
`\pink{\twoheadrightarrow\bf (x)/(2)+8\geq20}`

`\qquad`
`\twoheadrightarrow\sf (x)/(2)\geq20-8`

`\qquad`
`\twoheadrightarrow\sf (x)/(2)\geq12`

`\qquad`
`\pink{\twoheadrightarrow\sf x\geq24}`

• Henceforth,Option b) x ≥ 24 is correct.