Question
Solve the inequality
Solve for x
Solve for d
d<0,x>d120d>0,x<d120
Evaluate
−30<d×−4x
Simplify
More Steps

Evaluate
d×−4x
Use b−a=−ba=−ba to rewrite the fraction
d(−4x)
Multiplying or dividing an odd number of negative terms equals a negative
−d×4x
Multiply the terms
−4dx
−30<−4dx
Swap the sides of the inequality
−4dx>−30
Rewrite the expression
4−dx>−30
Cross multiply
−dx>4(−30)
Simplify the equation
−dx>−120
Divide both sides
−d−dx>−d−120
Divide the numbers
x>−d−120
Divide the numbers
x>d120
Rewrite the inequalities
{x>d120−d>0{x<d120−d<0
Change the signs on both sides of the inequality and flip the inequality sign
{x>d120d<0{x<d120−d<0
Change the signs on both sides of the inequality and flip the inequality sign
{x>d120d<0{x<d120d>0
Calculate
{d<0x>d120{x<d120d>0
Calculate
{d<0x>d120{d>0x<d120
Solution
d<0,x>d120d>0,x<d120
Show Solution
