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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​

Sagot :

A
Greater than will always have the opening facing the number that is “greater than”
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Answer :- b) x ≥ 24

Solution :-

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

  • [tex]\bf \dfrac{x}{2}+8\geq20[/tex]

Now, we can proceed to its solution:-

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\bf \dfrac{x}{2}+8\geq20}[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \dfrac{x}{2}\geq20-8[/tex]

[tex]\qquad[/tex] [tex]\twoheadrightarrow\sf \dfrac{x}{2}\geq12[/tex]

[tex]\qquad[/tex] [tex]\pink{\twoheadrightarrow\sf x\geq24}[/tex]

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