Question 212349
# 1

{{{y>7-3}}} Subtract {{{3}}} from both sides.

{{{y>4}}} Combine like terms on the right side.

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So the solution is {{{y>4}}}

Here's the graph of the solution set

{{{drawing(500,80,-6, 14,-10, 10,
number_line( 500, -6, 14),

arrow(4,0,14,0),
arrow(4,0.30,14,0.30),
arrow(4,0.15,14,0.15),
arrow(4,-0.15,14,-0.15),
arrow(4,-0.30,14,-0.30),

circle(4,0,0.3),
circle(4,0,0.3),
circle(4,0,0.3),
circle(4,0,0.3-0.02)
)}}}

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# 2

{{{cross(3)(d/cross(3))>3(15)}}} Multiply both sides by 3.

{{{d>45}}} Multiply.

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So the solution is {{{d>45}}}

Here's the graph of the solution set

{{{drawing(500,80,35, 55,-10, 10,
number_line( 500, 35, 55),

arrow(45,0,55,0),
arrow(45,0.30,55,0.30),
arrow(45,0.15,55,0.15),
arrow(45,-0.15,55,-0.15),
arrow(45,-0.30,55,-0.30),

circle(45,0,0.3),
circle(45,0,0.3),
circle(45,0,0.3),
circle(45,0,0.3-0.02)
)}}}

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# 3

You have a typo in there somewhere?

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# 4

{{{24-14<k }}} Subtract 14 from both sides.

{{{10<k }}} Combine like terms.

{{{k>10}}} Rearrange the inequality

So the solution is {{{k>10}}}

Here's the graph of the solution set

{{{drawing(500,80,0, 20,-10, 10,
number_line( 500, 0, 20),

arrow(10,0,20,0),
arrow(10,0.30,20,0.30),
arrow(10,0.15,20,0.15),
arrow(10,-0.15,20,-0.15),
arrow(10,-0.30,20,-0.30),

circle(10,0,0.3),
circle(10,0,0.3),
circle(10,0,0.3),
circle(10,0,0.3-0.02)
)}}}