Javon and Ivy are both given the equation 5 − 2x−13 ≤ 4
. Javon thinks the first step is − 2x−13 ≤ 9
. Ivy thinks the first step is −2x− 13 ≤ −1
. Who is incorrect and why?(1 point)
Responses
Ivy is incorrect because, on her first step, she did not add 5 (or equivalently subtract -5) from both sides of the equation.
Ivy is incorrect because, on her first step, she did not add 5 (or equivalently subtract -5) from both sides of the equation.
Both students are incorrect because, on their first step, they did not multiply by 3 on both sides of the equation.
Both students are incorrect because, on their first step, they did not multiply by 3 on both sides of the equation.
Both students are incorrect because, on their first step, they did not divide by 3 (or equivalently multiply by 13
) from both sides of the equation.
Both students are incorrect because, on their first step, they did not divide by 3 (or equivalently multiply by 1 third) from both sides of the equation.
Javon is incorrect because, on his first step, he did not subtract 5 ( or equivalently add -5) from both sides of the equation.
This response is correct. Javon is incorrect because he did not perform the correct operation of subtracting 5 (or adding -5) to both sides of the equation.
Javon is incorrect because, on his first step, he did not subtract 5 (or equivalently add -5) from both sides of the equation.
To solve the inequality 5 - 2x - 13 ≤ 4, the correct first step is to subtract 5 from both sides of the equation:
5 - 2x - 13 - 5 ≤ 4 - 5
Simplifying this, we get:
-2x - 13 - 5 ≤ -1
-2x - 18 ≤ -1
Now we can see that Ivy's first step −2x− 13 ≤ −1 is the correct step, as it correctly subtracts 5 from both sides of the equation.