To solve the inequality 2/3 x _ < 5, we can start by multiplying both sides of the inequality by the reciprocal of 2/3, which is 3/2. This will allow us to isolate x on one side of the inequality.
(3/2) * (2/3) x < (5) * (3/2)
The 2/3 and 3/2 cancel out on the left side, and we are left with:
x < (5) * (3/2)
Simplifying further, we have:
x < 15/2
Therefore, the solution to the inequality is x is less than 15/2, or x < 7.5.
2/3 x _< 5
5 answers
2/3 x <_ 5
To solve the inequality 2/3 x ≤ 5, we can multiply both sides of the inequality by the reciprocal of 2/3, which is 3/2. This will allow us to eliminate the fraction.
(3/2) * (2/3) x ≤ (5) * (3/2)
The 2/3 and 3/2 cancel out on the left-hand side, and we are left with:
x ≤ (5) * (3/2)
Simplifying further, we have:
x ≤ 15/2
Therefore, the solution to the inequality is x is less than or equal to 15/2, or x ≤ 7.5.
(3/2) * (2/3) x ≤ (5) * (3/2)
The 2/3 and 3/2 cancel out on the left-hand side, and we are left with:
x ≤ (5) * (3/2)
Simplifying further, we have:
x ≤ 15/2
Therefore, the solution to the inequality is x is less than or equal to 15/2, or x ≤ 7.5.
Wb on a number line
To represent the solution to the inequality 2/3 x ≤ 5 on a number line, we first plot a point at 7.5 because x is less than or equal to 7.5 (as we found in the previous response).
Then, to represent "less than or equal to" on a number line, we draw a solid dot at 7.5.
So, on the number line, we would plot a solid dot at 7.5. This represents all the values of x that satisfy the inequality 2/3 x ≤ 5.
Then, to represent "less than or equal to" on a number line, we draw a solid dot at 7.5.
So, on the number line, we would plot a solid dot at 7.5. This represents all the values of x that satisfy the inequality 2/3 x ≤ 5.