Beginning & Intermediate Algebra
Solve the inequality −2x>6-2x > 6 and write the solution in inequality form and interval notation.
Let A={a,b,c}A={\(\left\[\lbrace\) a,b,c\(\right\]\rbrace\)}, B={b,c,d}B={\(\left\[\lbrace\) b,c,d\(\right\]\rbrace\)}, and C={c,e}C={\(\left\[\lbrace\) c,e\(\right\]\rbrace\)}. Compute A∩(B∪C)A ∩ (B ∪ C).
Solve the compound inequality and give the solution in interval notation: [x≥3x<0\(\left\)[\(\begin{aligned}\)x & \(\ge\)3\\ x & <0\(\end{aligned}\]\right\).
Why does the equation ∣x∣=−3|x| = -3 have no real solutions?
Solve ∣3(x−2)+4∣=10|3(x - 2) + 4| = 10.
Solve ∣2x−1∣=∣x+5∣|2x - 1| = |x + 5|.
Solve the inequality −2(x−3)+5<1-2(x - 3) + 5 < 1 and express the solution in interval notation.
Solve the inequality ∣x+4∣≤0|x + 4| ≤ 0.
Solve the compound inequality −6≤2−∣x−1∣<4-6 ≤ 2 - |x - 1| < 4 and express your answer in interval notation.
Determine whether the ordered pair (1,2)(1, 2) is a solution to the inequality 3x+2y<103x + 2y < 10.
For the inequality y≤−12x+4y\(\le\)-\(\frac\)12x+4, what type of line should be drawn?
Convert 6x−3y<96x - 3y < 9 into slope-intercept form, and specify the correct boundary line type.
