Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(5,\,7)$ a solution to this system of inequalities? $\newline$ $x \leq 5$ $\newline$ $y \geq x + 2$ $\newline$ Choices: $\newline$ (A)yes $\newline$ (B)no

View step-by-step help

View step-by-step help

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

Full solution

Q. Is

(5,\,7)

a solution to this system of inequalities?

\newline

x \leq 5

\newline

y \geq x + 2

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(5, 7)$ : Does the point $(5, 7)$ satisfy the inequality $x \leq 5$ ? $\newline$ Substitute $5$ for $x$ in $x \leq 5$ . $\newline$ $5 \leq 5$ $\newline$ Since $5 \leq 5$ is true, $(5, 7)$ satisfies $x \leq 5$ .
Substitute Values: Does the point $(5, 7)$ satisfy the inequality $y \geq x + 2$ ? $\newline$ Substitute $5$ for $x$ and $7$ for $y$ in $y \geq x + 2$ . $\newline$ $7 \geq 5 + 2$ $\newline$ $7 \geq 7$ $\newline$ Since $7 \geq 7$ is true, $(5, 7)$ satisfies $y \geq x + 2$ .
Verify Solutions: Is $(5, 7)$ a solution to the system of inequalities? $\newline$ Since $(5, 7)$ satisfies both $x \leq 5$ and $y \geq x + 2$ , $(5, 7)$ is a solution to the system of inequalities.

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

Question

Write the following inequality in slope-intercept form.

\newline

9x+y \geq -17

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

\newline

Posted 5 months ago

Question

(2,\,1)

make the inequality

2x + 15y < 20

\newline

\newline

\newline

Posted 5 months ago

Question

Jack is fixing up his home and must spend less than

\$4,800

to hire carpenters and painters. Carpenters charge

\$60

per hour and painters charge

\$32

\newline

Select the inequality in standard form that describes this situation. Use the given numbers and the following variables.

\newline

x =

the number of hours of carpentry

\newline

y =

the number of hours of painting

\newline

\newline

32x + 60y < 4,800

\newline

60x + 32y < 4,800

\newline

32x - 60y < 4,800

\newline

60x - 32y < 4,800

Posted 5 months ago

Question

(2,\, 10)

a solution to this system of inequalities?

\newline

y \geq x + 10

\newline

y \leq 9x + 5

\newline

\newline

\newline

Posted 5 months ago

Question

Write the following inequality in slope-intercept form.

\newline

4x - 2y \leq 8

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 9 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-3x + 5y > 15

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 9 months ago

Question

Write the following inequality in slope-intercept form.

\newline

2x + 3y < -6

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 9 months ago

Question

Write the following inequality in slope-intercept form.

\newline

-7x - y \geq 21

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 8 months ago

Question

Write the following inequality in slope-intercept form.

\newline

5x - 4y > -20

\newline

Write your answer with

y

first, followed by an inequality symbol. Use integers, proper fractions, and improper fractions in simplest form.

Posted 9 months ago

Question

Miyoko's goal is to earn more than

(950

this week. She earns

)250

for every day she works as a cryptographer, and earns

\$180

for every day she works as a geologist.

\newline

Write an inequality that represents the number of days Miyoko should work as a cryptographer

C

and as a geologist

G

to achieve her goal.

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant