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Does $(4,\,1)$ make the inequality y < 10x + 6 true? $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Does (x, y) satisfy the inequality?

Full solution

Q. Does

(4,\,1)

make the inequality

y < 10x + 6

true?

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Substitute values into inequality: Substitute the values $(4, 1)$ into the inequality y < 10x + 6. The substituted inequality is 1 < 10(4) + 6.
Calculate right side: Calculate the right side of the inequality $10(4) + 6$ . Simplify it to get $40 + 6$ , which equals $46$ .
Evaluate inequality: The inequality 1 < 10(4) + 6 becomes 1 < 46 after the calculation. Now, determine if the point $(4, 1)$ makes the inequality y < 10x + 6 true. Since $1$ is less than $46$ , the statement 1 < 46 is true.
Verify point satisfies inequality: Since the statement 1 < 46 is true, the point $(4, 1)$ does satisfy the inequality y < 10x + 6.

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