Inequalities math
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The document discusses solving an inequality involving variables x and y. It shows how to write the inequality x + y ≥ 4 as an equation in slope-intercept form, with a slope of -1 and y-intercept of 4. It then lists six inequalities that define the ranges of x and y: x + y ≥ 4 and x + y ≤ 8, with x ≤ 5, y ≤ 5, x ≥ 0 and y ≥ 0. This system of inequalities describes the region 0 ≤ x ≤ 5 and 4 ≤ y ≤ 8.
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Inequalities math
- 1. (1) x + y ≥ 4 write it as x + y = 4 (0,4) (4,0)
- 2. (1) x + y ≥ 4 write it as Y=MX+C M= 𝑹𝒊𝒔𝒆 𝑹𝒖𝒏 x + y = 4 Y=-X+4 Y= −𝟏 𝟏 X+4 OR (0,4) (4,0)
- 3. (1) x + y ≥ 4 (2) x + y ≤ 8 (3) x ≤ 5 (4) y ≤ 5 (5) x ≥ 0 (6) y ≥ 0 (0,8) (8,0)
- 4. (1) x + y ≥ 4 (2) x + y ≤ 8 (3) x ≤ 5 (4) y ≤ 5 (5) x ≥ 0 (6) y ≥ 0 (0,8) (8,0)
- 5. (1) x + y ≥ 4 (2) x + y ≤ 8 (3) x ≤ 5 (4) y ≤ 5 (5) x ≥ 0 (6) y ≥ 0
- 6. (1) x + y ≥ 4 (2) x + y ≤ 8 (3) x ≤ 5 (4) y ≤ 5 (5) x ≥ 0 (6) y ≥ 0
- 7. (1) x + y ≥ 4 (2) x + y ≤ 8 (3) x ≤ 5 (4) y ≤ 5 (5) x ≥ 0 (6) y ≥ 0
- 8. (1) x + y ≥ 4 (2) x + y ≤ 8 (3) x ≤ 5 (4) y ≤ 5 (5) y ≥ 0 (6) x ≥ 0 6 5 2 3 4 1