The following inequality is solved for x. Line A 4(x + 1) + 8 ≥ 4 + 2x Line B 4x + 4 + 8 ≥ 4 + 2x Line C 4x + 12 ≥ 4 + 2x Line D 2x + 12 ≥ 4 Line E 2x ≥ - 8 Line F x ≥ -4 Which Line shows the inequality after you combine like terms? (1 point) Responses Line B Line B Line C Line C Line D Line D Line E Line E Line F
Mari is solving the inequality 4(x - 3) > 16. Her first step is 4x - 12 > 16. Which step could be the next step? Select all that apply. (3 points) Responses 4x - 12 + 12 > 16 + 12 4x - 12 + 12 > 16 + 12 4x - 12 - (-12) > 16 - (-12) 4x - 12 - (-12) > 16 - (-12) (14)(4x − 12) > 16 (1(4))(14)(4x − 12) > 16 (1(4))(14)(4x − 12) > 16 (1(4))(14)(4x − 12) > 16 (1(4)) 4x4 − 12 > 1644x4 − 12 > 1644x4 − 12 > 1644x4 − 12 > 164 4(4x - 12) > 16(4) 4(4x - 12) > 16(4) Question 4
The next step could be:
4x - 12 + 12 > 16 + 12
4x - 12 - (-12) > 16 - (-12)
(14)(4x - 12) > 16
Javon and Ivy are both given the equation 5 − 2x−13 ≤ 45 − 2x−13 ≤ 4 . Javon thinks the first step is − 2x−13 ≤ 9− 2x−13 ≤ 9 . Ivy thinks the first step is −2x− 13 ≤ −1−2x− 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 1313) 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.
Ivy is incorrect because, on her first step, she did not add 5 (or equivalently subtract -5) from both sides of the equation.
Consider the inequality 3( - 1 - x) ≤ -2x - 3x. The solution set of the inequality is: (1 point) Responses {x|x≥32≥32} {x|xis greater than or equal to 3 halves} {x|x≤32≤32} {x|xis less than or equal to 3 halves} {x|x≥23≥23} {x|xis greater than or equal to 2 thirds} {x|x≤23≤23}
The solution set of the inequality is {x | x ≥ 2/3}.
