Sure, let's break this down step by step.
Kyle currently has [tex]$75 saved and needs to raise at least $[/tex]150 in total. To find out how much more money he needs to raise, we set up an inequality.
First, we need to write down what we know:
1. Kyle already has [tex]$75 saved.
2. He needs at least $[/tex]150 in total.
Let's represent the additional amount of money Kyle needs to raise with the variable [tex]\( x \)[/tex].
Now, our goal is to express that the sum of Kyle's saved money and the additional money he needs to raise should be at least [tex]$150.
We can write the equation as:
\[ 75 + x \]
Since this total needs to be at least $[/tex]150, we need to use an inequality to represent this requirement. The phrase "at least" means the value should be greater than or equal to $150.
So the inequality becomes:
[tex]\[ 75 + x \geq 150 \][/tex]
To match this with the format given in the question [tex]\( x + 75 \square 150 \)[/tex], we see:
[tex]\[ x + 75 \geq 150 \][/tex]
The correct inequality symbol to use in the box is [tex]\( \geq \)[/tex].
Thus, the completed inequality is:
[tex]\[ x + 75 \geq 150 \][/tex]
So, the inequality symbol that can be used in the box to make the inequality correct is [tex]\( \geq \)[/tex].
