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8x+6 < 4x+10
Which of the following best describes the solutions to the inequality shown?
Choose 1 answer:
(A)
x < (1)/(3)
(B)
x < 4
(C)
x < 1
(D)
x > 1

$8 x+6<4 x+10$ $\newline$ Which of the following best describes the solutions to the inequality shown? $\newline$ Choose $1$ answer: $\newline$ (A) $x<\frac{1}{3}$ $\newline$ (B) $x<4$ $\newline$ (C) $x<1$ $\newline$ (D) $x>1$

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Solutions to inequalities

Full solution

Q.

8 x+6<4 x+10

\newline

Which of the following best describes the solutions to the inequality shown?

\newline

Choose

1

answer:

\newline

(A)

x<\frac{1}{3}

\newline

(B)

x<4

\newline

(C)

x<1

\newline

(D)

x>1

Subtract $6$ from both sides: Now, subtract $6$ from both sides to solve for $x$ . $4x + 6 - 6 < 10 - 6$ $4x < 4$
Divide both sides by $4$ : Next, divide both sides by $4$ to find the value of $x$ . $\frac{4x}{4} < \frac{4}{4}$ $x < 1$
Compare solution with answer choices: Finally, we compare the solution $x < 1$ with the answer choices. $\newline$ The correct answer choice that describes the solution is (C) $x < 1$ .

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