###### Advertisements

###### Advertisements

Solve −3|x| + 5 ≤ −2 and graph the solution set in a number line

###### Advertisements

#### Solution

−3|x| + 5 ≤ −2

⇒ −3|x| ≤ – 2 – 5 (= − 7)

− 3|x| ≤ – 7

⇒ 3|x| ≥ 7

⇒ `x ≤ 7/3`

or

⇒ `x ≥ 7/3`

(i.e.) `x ∈ (- ∞, - 7/3] ∪ [7/3, ∞,)`

#### APPEARS IN

#### RELATED QUESTIONS

Solve for x: |3 − x| < 7

Solve for x: |4x − 5| ≥ −2

Solve for x: `|3 - 3/4x| ≤ 1/4`

Solve for x: |x| − 10 < −3

Solve `1/(|2x - 1|) < 6` and express the solution using the interval notation

Solve 2|x + 1| − 6 ≤ 7 and graph the solution set in a number line

Solve `1/5|10x - 2| < 1`

Solve |5x − 12| < −2

Choose the correct alternative:

If |x + 2| ≤ 9, then x belongs to

Choose the correct alternative:

If `("k"x)/((x + 2)(x - 1)) = 2/(x + 2) + 1/(x - 1)`, then the value of k is

Choose the correct alternative:

If `(1 - 2x)/(3 + 2x - x^2) = "A"/(3 - x) + "B"/(x + 1)`, then the value of A + B is