Answer:
[tex]x>7[/tex]
Step-by-step explanation:
We have the inequality [tex]3x+7>28[/tex] and we want to solve it for [tex]x[/tex].
1) Subtract 7 from both sides: [tex]3x + 7 -7>28-7[/tex]
2) Simplify by collecting the terms together: [tex]3x > 21[/tex]
3) Divide both sides by 3 to get [tex]x[/tex] on it's own: [tex]\frac{3x}{3} >\frac{21}{3}[/tex]
4) Simplify: [tex]x > 7[/tex]
So [tex]x[/tex] must be greater than 7 for it to satisfy the inequality [tex]3x+7>28[/tex].
If it is below or equal to 7, it does not work.
