91Ó°ÊÓ

In all exercises other than \(\varnothing\), use interval notation to express solution sets and graph each solution set on a number line. In Exercises \(27-50,\) solve each linear inequality. $$ 8 x+3>3(2 x+1)+x+5 $$

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $$ x^{2}-10 x $$

Solve each formula for the specified variable. Do you recognize the formula? If so, what does it describe? \(A=l w\) for \(w\)

In all exercises other than \(\varnothing\), use interval notation to express solution sets and graph each solution set on a number line. In Exercises \(27-50,\) solve each linear inequality. $$ 2 x-11<-3(x+2) $$

Solve each equation with rational exponents in Exercises \(31-40\) Check all proposed solutions. $$(x-4)^{\frac{2}{3}}=16$$

Perform the indicated operations and write the result in standard form. $$ \frac{-8+\sqrt{-32}}{24} $$

Determine the constant that should be added to the binomial so that it becomes a perfect square trinomial. Then write and factor the trinomial. $$ x^{2}-14 x $$

In all exercises other than \(\varnothing\), use interval notation to express solution sets and graph each solution set on a number line. In Exercises \(27-50,\) solve each linear inequality. $$ -4(x+2)>3 x+20 $$

Solve each equation with rational exponents in Exercises \(31-40\) Check all proposed solutions. $$(x+5)^{\frac{2}{3}}=4$$

Perform the indicated operations and write the result in standard form. $$ \frac{-12+\sqrt{-28}}{32} $$