Answer :
Sure, let's solve the inequality step-by-step.
We start with the inequality:
[tex]\[ 3g - 193 \leq -250 \][/tex]
### Step 1: Add 193 to both sides of the inequality
To isolate the term with [tex]\( g \)[/tex], we need to eliminate the constant on the left side by adding 193 to both sides:
[tex]\[ 3g - 193 + 193 \leq -250 + 193 \][/tex]
This simplifies to:
[tex]\[ 3g \leq -57 \][/tex]
### Step 2: Divide both sides by 3
Next, we divide both sides by 3 to solve for [tex]\( g \)[/tex]:
[tex]\[ \frac{3g}{3} \leq \frac{-57}{3} \][/tex]
This results in:
[tex]\[ g \leq -19 \][/tex]
### Final Answer
Therefore, the solution to the inequality [tex]\( 3g - 193 \leq -250 \)[/tex] is:
[tex]\[ g \leq -19 \][/tex]
This means that [tex]\( g \)[/tex] can be any number less than or equal to [tex]\(-19\)[/tex].
We start with the inequality:
[tex]\[ 3g - 193 \leq -250 \][/tex]
### Step 1: Add 193 to both sides of the inequality
To isolate the term with [tex]\( g \)[/tex], we need to eliminate the constant on the left side by adding 193 to both sides:
[tex]\[ 3g - 193 + 193 \leq -250 + 193 \][/tex]
This simplifies to:
[tex]\[ 3g \leq -57 \][/tex]
### Step 2: Divide both sides by 3
Next, we divide both sides by 3 to solve for [tex]\( g \)[/tex]:
[tex]\[ \frac{3g}{3} \leq \frac{-57}{3} \][/tex]
This results in:
[tex]\[ g \leq -19 \][/tex]
### Final Answer
Therefore, the solution to the inequality [tex]\( 3g - 193 \leq -250 \)[/tex] is:
[tex]\[ g \leq -19 \][/tex]
This means that [tex]\( g \)[/tex] can be any number less than or equal to [tex]\(-19\)[/tex].
