Answer: [tex]x>40[/tex]
Step-by-step explanation:
For this exercise it is important to remember the Multiplication property of inequality. This states that:
If [tex]c>0[/tex] and [tex]a>b[/tex], then [tex]ac>bc[/tex]
If [tex]c>0[/tex] and [tex]a<b[/tex], then [tex]ac<bc[/tex]
If [tex]c<0[/tex] and [tex]a>b[/tex], then [tex]ac<bc[/tex]
If [tex]c<0[/tex] and [tex]a<b[/tex], then [tex]ac>bc[/tex]
Then, given the following inequality:
[tex]\frac{x}{4}>10[/tex]
You need to apply Multiplication property of inequality and multiply both sides of the inequality by 4.
Then, the solution is:
[tex](\frac{x}{4})(4)>(10)(4)\\\\x>40[/tex]
