To graph the linear inequality 1.2x - 4y > 4, you can follow these steps:
First, put the inequality in standard form by isolating the x-term and the y-term on opposite sides of the inequality symbol:
4y < -1.2x + 4
4y < (-1.2)x + 4
y < (-0.3)x + 1
Choose a value for x, and solve for y to find the corresponding y-value. For example, if you choose x = 0, then y = (-0.3)(0) + 1 = 1. If you choose x = 1, then y = (-0.3)(1) + 1 = 0.7.
Plot these points on the coordinate plane, and connect them with a solid line.
Since the inequality uses a "greater than" symbol, the region that satisfies the inequality will be the area above the line. Shade this region on the graph.
To graph the linear inequality x + 5y ≤ 15, you can follow similar steps:
Put the inequality in standard form by isolating the x-term and the y-term on opposite sides of the inequality symbol:
5y ≤ 15 - x
y ≤ (15 - x)/5
Choose a value for x, and solve for y to find the corresponding y-value. For example, if you choose x = 0, then y = (15 - 0)/5 = 3. If you choose x = 1, then y = (15 - 1)/5 = 2.8.
Plot these points on the coordinate plane, and connect them with a solid line.
Since the inequality uses a "less than or equal to" symbol, the region that satisfies the inequality will be the area below the line. Shade this region on the graph.
To graph the linear inequality y > -3x + 8, you can follow similar steps:
Put the inequality in standard form by isolating the x-term and the y-term on opposite sides of the inequality symbol:
y > 8 + 3x
Choose a value for x, and solve for y to find the corresponding y-value. For example, if you choose x = 0, then y = 8 + 3(0) = 8. If you choose x = 1, then y = 8 + 3(1) = 11.
Plot these points on the coordinate plane, and connect them with a solid line.
Since the inequality uses a "greater than" symbol, the region that satisfies the inequality will be the area above the line. Shade this region on the graph.
I hope this helps! Let me know if you have any questions.
Answers & Comments
Answer:
To graph the linear inequality 1.2x - 4y > 4, you can follow these steps:
First, put the inequality in standard form by isolating the x-term and the y-term on opposite sides of the inequality symbol:
4y < -1.2x + 4
4y < (-1.2)x + 4
y < (-0.3)x + 1
Choose a value for x, and solve for y to find the corresponding y-value. For example, if you choose x = 0, then y = (-0.3)(0) + 1 = 1. If you choose x = 1, then y = (-0.3)(1) + 1 = 0.7.
Plot these points on the coordinate plane, and connect them with a solid line.
Since the inequality uses a "greater than" symbol, the region that satisfies the inequality will be the area above the line. Shade this region on the graph.
To graph the linear inequality x + 5y ≤ 15, you can follow similar steps:
Put the inequality in standard form by isolating the x-term and the y-term on opposite sides of the inequality symbol:
5y ≤ 15 - x
y ≤ (15 - x)/5
Choose a value for x, and solve for y to find the corresponding y-value. For example, if you choose x = 0, then y = (15 - 0)/5 = 3. If you choose x = 1, then y = (15 - 1)/5 = 2.8.
Plot these points on the coordinate plane, and connect them with a solid line.
Since the inequality uses a "less than or equal to" symbol, the region that satisfies the inequality will be the area below the line. Shade this region on the graph.
To graph the linear inequality y > -3x + 8, you can follow similar steps:
Put the inequality in standard form by isolating the x-term and the y-term on opposite sides of the inequality symbol:
y > 8 + 3x
Choose a value for x, and solve for y to find the corresponding y-value. For example, if you choose x = 0, then y = 8 + 3(0) = 8. If you choose x = 1, then y = 8 + 3(1) = 11.
Plot these points on the coordinate plane, and connect them with a solid line.
Since the inequality uses a "greater than" symbol, the region that satisfies the inequality will be the area above the line. Shade this region on the graph.
I hope this helps! Let me know if you have any questions.
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