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Answer :
Sure! To solve the inequality [tex]\(3x \leq 7.5\)[/tex], follow these steps:
1. Identify the Inequality: We have the inequality [tex]\(3x \leq 7.5\)[/tex].
2. Isolate the Variable: Our goal is to solve for [tex]\(x\)[/tex]. To do this, we need to isolate [tex]\(x\)[/tex] on one side of the inequality. Since [tex]\(x\)[/tex] is multiplied by 3, we can divide both sides of the inequality by 3 to isolate [tex]\(x\)[/tex].
3. Divide Both Sides by 3:
- Left side: [tex]\(3x \div 3 = x\)[/tex]
- Right side: [tex]\(7.5 \div 3 = 2.5\)[/tex]
4. Solution: After dividing both sides, the inequality becomes [tex]\(x \leq 2.5\)[/tex].
So, the solution to the inequality [tex]\(3x \leq 7.5\)[/tex] is [tex]\(x \leq 2.5\)[/tex]. This means any value of [tex]\(x\)[/tex] that is 2.5 or less will satisfy the inequality.
1. Identify the Inequality: We have the inequality [tex]\(3x \leq 7.5\)[/tex].
2. Isolate the Variable: Our goal is to solve for [tex]\(x\)[/tex]. To do this, we need to isolate [tex]\(x\)[/tex] on one side of the inequality. Since [tex]\(x\)[/tex] is multiplied by 3, we can divide both sides of the inequality by 3 to isolate [tex]\(x\)[/tex].
3. Divide Both Sides by 3:
- Left side: [tex]\(3x \div 3 = x\)[/tex]
- Right side: [tex]\(7.5 \div 3 = 2.5\)[/tex]
4. Solution: After dividing both sides, the inequality becomes [tex]\(x \leq 2.5\)[/tex].
So, the solution to the inequality [tex]\(3x \leq 7.5\)[/tex] is [tex]\(x \leq 2.5\)[/tex]. This means any value of [tex]\(x\)[/tex] that is 2.5 or less will satisfy the inequality.
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