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Y<3x+2 y>=-2x-3 Identify the slope and y-intercept in each inequality:

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Final answer:

The slope and y-intercept for the inequality y < 3x + 2 are 3 and 2 respectively, and for the inequality y >= -2x - 3, they are -2 and -3 respectively.

Step-by-step explanation:

The slope and y-intercept are fundamental components of linear equations. In inequalities such as y < 3x + 2 and y >= -2x - 3, these two properties can still be identified. The standard form of a linear equation is y = mx + b, where m represents the slope, and b represents the y-intercept.

For the inequality y < 3x + 2, the slope (m) is 3, and the y-intercept (b) is 2. This means that for every one unit increase in x, the value of y increases by three units, and when x is 0, y is 2. For the inequality y >= -2x - 3, the slope is -2, and the y-intercept is -3. The negative slope indicates that for each one unit increase in x, y decreases by two units, and when x is 0, y is -3.

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