What are the like terms in the algebraic expression? −x2y + 2xy2 − 5 + 3y − 4xy + y june claims the like terms are: 3y and y −x2y and 2xy2 did june identify the correct like terms? check the correct statement.

No, June did not identify the correct like terms.

Step-by-step explanation:

The given algebraic expression is

In an algebraic expression, two terms are called like terms if they have the same variables and powers.

In the given algebraic expression 3y and y are like terms because both terms have the same variable y with power 1.

In the given algebraic expression -x²y and 2xy² are not like terms because both terms have the same variables x and y but having different powers.

June claims the like terms are: 3y and y ,-x²y and 2xy/

Since 3y and y are like terms and -x²y and 2xy² are not like terms, therefore June did not identify the correct like terms.

b. the decimal could be two-tenths.

step-by-step explanation:

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is