Is (1, 4) a solution to this system of inequalities? y ≤ x + 3 y ≥ 6x + 7 Choices: (A)yes (B)no

Check Point (1, 4): Check if the point (1, 4) satisfies the inequality y ≤ x + 3. Substitute x = 1 and y = 4 into the inequality. 4 ≤ 1 + 3 4 ≤ 4 Since 4 is equal to 4, the inequality holds true.Check Inequality y ≤ x + 3: Check if the point (1, 4) satisfies the inequality y ≥ 6x + 7. Substitute x = 1 and y = 4 into the inequality. 4 ≥ 6(1) + 7 4 ≥ 6 + 7 4 ≥ 13 Since 4 is not greater than or equal to 13, the inequality does not hold true.Check Inequality y ≥ 6x + 7: Determine if (1, 4) is a solution to the system of inequalities. Since the point (1, 4) does not satisfy both inequalities, it is not a solution to the system.

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Is $(1,\ 4)$ a solution to this system of inequalities? $\newline$ $y \leq x + 3$ $\newline$ $y \geq 6x + 7$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

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Algebra 1

Is (x, y) a solution to the system of linear inequalities?

Full solution

Q. Is

(1,\ 4)

a solution to this system of inequalities?

\newline

y \leq x + 3

\newline

y \geq 6x + 7

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(1, 4)$ : Check if the point $(1, 4)$ satisfies the inequality $y \leq x + 3$ . $\newline$ Substitute $x = 1$ and $y = 4$ into the inequality. $\newline$ $4 \leq 1 + 3$ $\newline$ $4 \leq 4$ $\newline$ Since $4$ is equal to $4$ , the inequality holds true.
Check Inequality $y \leq x + 3$ : Check if the point $(1, 4)$ satisfies the inequality $y \geq 6x + 7$ . Substitute $x = 1$ and $y = 4$ into the inequality. $4 \geq 6(1) + 7$ $4 \geq 6 + 7$ $4 \geq 13$ Since $4$ is not greater than or equal to $13$ , the inequality does not hold true.
Check Inequality $y \geq 6x + 7$ : Determine if $(1, 4)$ is a solution to the system of inequalities. $\newline$ Since the point $(1, 4)$ does not satisfy both inequalities, it is not a solution to the system.