Home
Class 12
MATHS
Find all values of x for which |2x+3| g...

Find all values of x for which `|2x+3| ge 5.`

Text Solution

Verified by Experts

The graphical solution is shown below.

The desired values of x are on, or right and left of the points of intersection: ` x ge 1 or x le -4.`
By writing the intequality as `|x - (-(3)/(2))| ge (5)/(2),` we can also interpret the solutions to the inequality as those points that are more than `2(1)/(2)` units from `-1(1)/(2)`.
Promotional Banner

Topper's Solved these Questions

  • PIECEWISE FUNCTIONS

    ENGLISH SAT|Exercise EXERCISES|8 Videos

  • PASSPORT TO ADVANCED MATH

    ENGLISH SAT|Exercise EXERCISE|80 Videos

  • PLANE GEOMETRY/ TRIGONOMETRY

    ENGLISH SAT|Exercise EXERCISE|12 Videos

Similar Questions

Explore conceptually related problems

Find all values of x for which |{:(2,-1,4),(3,0,5),(4,1,6):}|=|{:(x,4),(5,x):}| .

Find the smallest value of x for which 5 - 2x lt 5 (1)/(2) - (5)/(3)x , where is an integer.

Find all values of p for which the roots of the equation (p-3)x^2-2px+5p=0 are real and positive

Find the values of x of for which sqrt(5-|2x-3|) is defined

Let y=sqrt(((x+1)(x-3))/((x-2))) . Find all the real values of x for which y takes real values.

Find all values of f(x) for which f(x) =x+sqrt(x^2)

Find all values of f(x) for which f(x) =x+sqrt(x^2)

Factorise the expression f(x)=2x^(3)-7x^(2)-3x+18 , Hence, find all possible values of x for which f(x)=0.

Find the values of a for which the expression (ax^2+3x-4)/(3x-4x^2+a) assumes all real values for all real values of x

Find the value of x for which 5^(2x)-:5^(-3)=5^5dot