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Solve for uu.\newline2(1)u5-2 - (-1)u \leq 5

Full solution

Q. Solve for uu.\newline2(1)u5-2 - (-1)u \leq 5
  1. Isolate variable term: Isolate the variable term 1u-1u by adding 22 to both sides of the inequality.\newline21u5-2 - -1u \leq 5\newline2+21u5+2-2 + 2 - -1u \leq 5 + 2\newline1u7-1u \leq 7
  2. Multiply by 1-1: Since 1u-1u is the same as u-u, we can write the inequality as u7-u \leq 7. Now, we need to get rid of the negative sign in front of uu by multiplying both sides by 1-1. Remember that when we multiply or divide both sides of an inequality by a negative number, we must reverse the inequality sign.\newlineu7-u \leq 7\newline(1)(u)(1)(7)(-1)(-u) \geq (-1)(7)\newlineu7u \geq -7

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