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The equation represents the inequality will be y < −2x + 3.Option d is correct.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

[tex]\rm m= \frac{1-3}{1-0} \\\\ \rm m= -2[/tex]

On putting the given origin value;

[tex]y < -2x+3 \\\\0 < -2(0)+3\\\\0 < 3[/tex]

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

To learn more about linear inequality refer to the link;

https://brainly.com/question/11897796

The equation represents the inequality will be y < −2x + 3.Option d is correct.

What is linear inequality?

Linear inequalities involve at least one linear algebraic expression. A polynomial of degree 1 is compared to another algebraic expression of degree less than or equal to 1.

Different types of linear inequalities can be represented in a variety of ways.

The linear equation with slope m and intercept y is given as;

y=mx+c

The inequalities are as follows;

(a).  y > 2x +3

(b).  y < 2x+ 3

(c).  y > −2x+ 3

(d). y < −2x+ 3

Because the line meets the y-axis,(0,3)the y-intercept is 3.

The points are (0,3)and(1,1)

The line's slope may be calculated as follows.

On putting the given origin value;

From all the data obtained we get the equation given in option d is correct.

Hence the equation that represents the inequality will be y < −2x + 3.Option d is correct.

To learn more about linear inequality refer to the link;

brainly.com/question/11897796

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