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nes-and-slope/alg-basics-graphing-inequalities/quiz/alg-basics-graphing-lines-and-sloped Khan Academy Get Al Tutoring NEW Donate C^(***) Quiz 3 Google Classroom Which graph represents 7x+2y < 8 ? Choose 1 answer: (A) (B)

nes-and-slope/alg-basics-graphing-inequalities/quiz/alg-basics-graphing-lines-and-sloped\newlineKhan Academy\newlineGet Al Tutoring\newlineNEW\newlineDonate C⋆ \mathrm{C}^{\star} \newlineQuiz 33\newlineGoogle Classroom\newlineWhich graph represents 7x+2y<8 7 x+2 y<8 ?\newlineChoose 11 answer:\newline(A)\newline(B)

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Q. nes-and-slope/alg-basics-graphing-inequalities/quiz/alg-basics-graphing-lines-and-sloped\newlineKhan Academy\newlineGet Al Tutoring\newlineNEW\newlineDonate C⋆ \mathrm{C}^{\star} \newlineQuiz 33\newlineGoogle Classroom\newlineWhich graph represents 7x+2y<8 7 x+2 y<8 ?\newlineChoose 11 answer:\newline(A)\newline(B)
  1. Isolate y in inequality: First, we need to write the inequality in slope-intercept form y=mx+by = mx + b to find the slope and y-intercept. We'll start by isolating y.7x+2y<87x + 2y < 82y<−7x+82y < -7x + 8y<(−7/2)x+4y < (-7/2)x + 4
  2. Identify slope and y-intercept: Now we know the slope mm is −72-\frac{7}{2} and the y-intercept bb is 44. The inequality sign \textless tells us the shading will be below the line.
  3. Draw dashed line: We'll draw a dashed line because the inequality is ＂<＂＂<＂ not ＂≤＂＂\leq＂, which means the line itself is not included in the solution set.
  4. Shade below line: After drawing the dashed line with slope −72-\frac{7}{2} and yy-intercept 44, we'll shade the area below the line to represent all the points (x,y)(x, y) that satisfy the inequality 7x+2y<87x+2y < 8.

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