Question

Solve the inequality 3 − 2x ≤ 9​

Answer 1

Answer:

x belongs to [3,infinity)

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Step-by-step explanation:

-2x≤9-3

-2x≤6

2x≥6

x≥3

Answer 2

Answer:

The inequality of $3-2 x \leq 9$ is $x \geq-3$.

Step-by-step explanation:

Given:

$3-2 x \leq 9$

To find:

The inequality of $3-2 x \leq 9$.

Step 1

Let, $3-2 x \leq 9$

Subtract 3 from both sides of the above equation, we get

$3-2 x-3 \leq 9-3$

Simplifying the above equation,

$-2 x \leq 6$

Step 2

Multiply both sides by $-1$ (reverse the inequality)

$(-2 x)(-1) \geq 6(-1)$

Equating

$2 x \geq-6$

Divide both sides of the equation by 2, we get

$\frac{2 x}{2} \geq \frac{-6}{2}$

Simplify

$x \geq-3$

Thus, the inequality of $3-2 x \leq 9$ is $x \geq-3$.

Then,

$3-2 x \leq 9:\left[\begin{array}{cc}\text { Solution: } & x \geq-3 \\ \text { Interval Notation: } & {[-3, \infty)}\end{array}\right]$

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