Review of graphing inequalities 1 start by graphing

  • Slides: 6
Download presentation
Review of graphing inequalities 1. ) start by graphing the boundary line - in

Review of graphing inequalities 1. ) start by graphing the boundary line - in slope-intercept form (either solid or dashed) 2. ) shade by using a test point or the inequality sign as a directive Algebra 3 Section 3. 3 Systems of Inequalities Graph the inequality y ≥ 3 x – 1 1. ) Graph the line y = 3 x – 1 {a solid line, given the ≥ sign} 2. ) Use a test point or shade upward on the y-axis, given the ≥ sign © Mr. Sims

A system of linear inequalities can be solved by graphing. When the variables of

A system of linear inequalities can be solved by graphing. When the variables of a linear inequality represent real numbers, a graphed solution consists of a half-plane and possibly its boundary line. For a system of two inequalities, the solution is the overlap of the two half-planes. Solve the system of inequalities by graphing y≥x– 1 y ≤ -x – 4 For y ≥ x - 1 For y ≤ -x – 4 Graph the line y = x – 1 {slope-intercept form, solid line} Graph the line y = -x – 4 {slope-intercept form, solid line} Since the inequality sign is ≥, shade up on the y-axis Since the inequality sign is ≤, shade down on the y-axis The solution is the overlap of the two half planes and any point on the solid lines Solution © Mr. Sims

Solve the system by graphing. y ≤ 2 x + 2 y < -x

Solve the system by graphing. y ≤ 2 x + 2 y < -x + 1 For y ≤ 2 x + 2 Graph the line y = 2 x + 2 {slope-intercept form, solid line} For y < -x + 1 Graph the line y = -x + 1 {slope-intercept form, dash line} Since the inequality sign is ≤, shade down on the y-axis Since the inequality sign is <, shade down on the y-axis The solution is the overlap of the two half-planes and any point on the solid line, but not the dash line © Mr. Sims

Solve the system by graphing. x + 2 y ≤ 10 x+y≤ 3 Since

Solve the system by graphing. x + 2 y ≤ 10 x+y≤ 3 Since the inequality sign is ≤, shade down on the y-axis The solution is the overlap, including the points on the solid lines © Mr. Sims

y < 5 x – 1 y ≥ 7 – 3 x The solution

y < 5 x – 1 y ≥ 7 – 3 x The solution set is the overlap, including the points on the solid line, but not the dash line. © Mr. Sims

Any rebroadcast, reproduction, modification or other use of the work, presentations, and materials from

Any rebroadcast, reproduction, modification or other use of the work, presentations, and materials from this site without the express written consent of Mr. Sims, is prohibited. © Mr. Sims. All rights reserved. © Mr. Sims