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Lesson 2.2 Linear Inequalities in Delaware County Re... JUSTICE, REENTRY A... Progressive Online... We 3w-9 >= 5+5w

Lesson 22.22 Linear Inequalities in\newlineDelaware County Re...\newlineJUSTICE, REENTRY A...\newlineProgressive Online...\newlineWe\newline3w−9≥5+5w 3 w-9 \geq 5+5 w

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Q. Lesson 22.22 Linear Inequalities in\newlineDelaware County Re...\newlineJUSTICE, REENTRY A...\newlineProgressive Online...\newlineWe\newline3w−9≥5+5w 3 w-9 \geq 5+5 w
  1. Isolate variable term: Isolate the variable term on one side of the inequality.\newlineTo do this, we will subtract 5w5w from both sides of the inequality to get all the ww terms on one side.\newline3w−9−5w≥5+5w−5w3w - 9 - 5w \geq 5 + 5w - 5w
  2. Simplify after subtraction: Simplify both sides of the inequality after the subtraction. −2w−9≥5-2w - 9 \geq 5
  3. Isolate ww by addition: Now, we need to isolate ww by getting rid of the −9-9 on the left side. We do this by adding 99 to both sides of the inequality.−2w−9+9≥5+9-2w - 9 + 9 \geq 5 + 9
  4. Simplify after addition: Simplify both sides of the inequality after the addition.\newline−2w≥14-2w \geq 14
  5. Divide by −2-2: To solve for ww, we need to divide both sides of the inequality by −2-2. Remember that when we divide or multiply both sides of an inequality by a negative number, we must reverse the inequality sign.\newline−2w/−2≤14/−2-2w / -2 \leq 14 / -2
  6. Final solution: Simplify both sides of the inequality after the division. w≤−7w \leq -7

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