If 7-5-3-5x-3x-10- then

Given: 7.5 3.5x≤ 3x+10 Subtracting with 10 on both sides: ⇒ 7.5 10 3.5x≤ 3x+10 10 ⇒ 2.5 3.5x≤ 3x Adding with 3.5x on both sides: 2.5 3.5x+3.5x≤ 3.x+3.5x ⇒ 2.5 ...

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Standard VII

Mathematics

Solving Inequalities by Multiplication and Division by a Positive Number

If 7.5-3.5x≤-...

Question

If $7.5 - 3.5 x \leq - 3 x + 10$ , then

x \geq - 5

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x \leq 5

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x \geq 0

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Solution

The correct option is A $x \geq - 5$
Given: $7.5 - 3.5 x \leq - 3 x + 10$
Subtracting with $10$ on both sides:
$\Rightarrow 7.5 - 10 - 3.5 x \leq - 3 x + 10 - 10$
$\Rightarrow - 2.5 - 3.5 x \leq - 3 x$
Adding with $3.5 x$ on both sides:
$- 2.5 - 3.5 x + 3.5 x \leq - 3. x + 3.5 x$
$\Rightarrow - 2.5 \leq 0.5 x$
$\Rightarrow - 2.5 \leq \frac{x}{2} \Rightarrow - 2.5 \times 2 \leq x$
Or $x \geq - 5$

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If 7.5−3.5x≤−3x+10, then

The correct option is A x≥−5Given: 7.5−3.5x≤−3x+10 Subtracting with 10 on both sides: ⇒7.5−10−3.5x≤−3x+10−10 ⇒−2.5−3.5x≤−3x Adding with 3.5x on both sides: −2.5−3.5x+3.5x≤−3.x+3.5x ⇒−2.5≤0.5x ⇒−2.5≤x2⇒−2.5×2≤x Or x≥−5

If $7.5 - 3.5 x \leq - 3 x + 10$ , then