Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Is $(1,\,3)$ a solution to this system of inequalities? $\newline$ x + y < 5 $\newline$ $2x + 6y \geq 20$ $\newline$ 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

(1,\,3)

a solution to this system of inequalities?

\newline

x + y < 5

\newline

2x + 6y \geq 20

\newline

Choices:

\newline

(A)yes

\newline

(B)no

Check Point $(1, 3)$ : Does the point $(1, 3)$ satisfy the inequality x + y < 5? $\newline$ Substitute $1$ for $x$ and $3$ for $y$ in x + y < 5. $\newline$ 1 + 3 < 5 $\newline$ 4 < 5 $\newline$ Since 4 < 5 is true, $(1, 3)$ satisfies x + y < 5.
Verify Inequality $1$ : Does the point $(1, 3)$ satisfy the inequality $2x + 6y \geq 20$ ? $\newline$ Substitute $1$ for $x$ and $3$ for $y$ in $2x + 6y \geq 20$ . $\newline$ $2(1) + 6(3) \geq 20$ $\newline$ $2 + 18 \geq 20$ $\newline$ $20 \geq 20$ $\newline$ Since $20 \geq 20$ is true, $(1, 3)$ satisfies $2x + 6y \geq 20$ .
Verify Inequality $2$ : Is $(1, 3)$ a solution to the system of inequalities? $\newline$ Since $(1, 3)$ satisfies both inequalities x + y < 5 and $2x + 6y \geq 20$ , $(1, 3)$ 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