Question 603584

{{{4x<3x+1+6}}} Add {{{6}}} to both sides.

{{{4x-3x<1+6}}} Subtract {{{3x}}} from both sides.

{{{x<1+6}}} Combine like terms on the left side.

{{{x<7}}} Combine like terms on the right side.

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So the solution is {{{x<7}}}

So the answer in interval notation is *[Tex \LARGE \left(-\infty,7\right)]

Here's the graph of the solution set

{{{drawing(500,80,-3, 17,-10, 10,
number_line( 500, -3, 17),

arrow(7,0,-3,0),
arrow(7,0.30,-3,0.30),
arrow(7,0.15,-3,0.15),
arrow(7,-0.15,-3,-0.15),
arrow(7,-0.30,-3,-0.30),

circle(7,0,0.3),
circle(7,0,0.3),
circle(7,0,0.3),
circle(7,0,0.3-0.02)
)}}}

Note: there's an open circle at the endpoint.